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Finding the Fourth Proportional to 5,706,057.68, 7,869,768.09 and 5,016,254.64

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Solution

The fourth proportional to 5,706,057.68, 7,869,768.09 and 5,016,254.64 is: 6,918,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706,057.68 : 7,869,768.09 = 5,016,254.64 : x
  2. Step 2: Convert to fraction form
    5,706,057.68/7,869,768.09 = 5,016,254.64/x
  3. Step 3: Cross multiply
    5,706,057.68x = 7,869,768.09 × 5,016,254.64
  4. Step 4: Simplify right side
    5,706,057.68x = 39,476,760,697,186.44
  5. Step 5: Solve for x
    x = 39,476,760,697,186.44/5,706,057.68
  6. Step 6: Final answer
    x = 6,918,394.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.