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Finding the Fourth Proportional to 5,064.68, 7,597.82 and 2,143

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Solution

The fourth proportional to 5,064.68, 7,597.82 and 2,143 is: 3,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.68 : 7,597.82 = 2,143 : x
  2. Step 2: Convert to fraction form
    5,064.68/7,597.82 = 2,143/x
  3. Step 3: Cross multiply
    5,064.68x = 7,597.82 × 2,143
  4. Step 4: Simplify right side
    5,064.68x = 16,282,128.26
  5. Step 5: Solve for x
    x = 16,282,128.26/5,064.68
  6. Step 6: Final answer
    x = 3,214.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.