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Finding the Fourth Proportional to 5,070.74, 6,998.38 and 3,659.12

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Solution

The fourth proportional to 5,070.74, 6,998.38 and 3,659.12 is: 5,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.74 : 6,998.38 = 3,659.12 : x
  2. Step 2: Convert to fraction form
    5,070.74/6,998.38 = 3,659.12/x
  3. Step 3: Cross multiply
    5,070.74x = 6,998.38 × 3,659.12
  4. Step 4: Simplify right side
    5,070.74x = 25,607,912.23
  5. Step 5: Solve for x
    x = 25,607,912.23/5,070.74
  6. Step 6: Final answer
    x = 5,050.13

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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.