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Finding the Fourth Proportional to 5,602.16, 7,733.38 and 3,988.11

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Solution

The fourth proportional to 5,602.16, 7,733.38 and 3,988.11 is: 5,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.16 : 7,733.38 = 3,988.11 : x
  2. Step 2: Convert to fraction form
    5,602.16/7,733.38 = 3,988.11/x
  3. Step 3: Cross multiply
    5,602.16x = 7,733.38 × 3,988.11
  4. Step 4: Simplify right side
    5,602.16x = 30,841,569.50
  5. Step 5: Solve for x
    x = 30,841,569.50/5,602.16
  6. Step 6: Final answer
    x = 5,505.30

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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.