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Finding the Fourth Proportional to 5,064.92, 7,597.29 and 1,602.17

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Solution

The fourth proportional to 5,064.92, 7,597.29 and 1,602.17 is: 2,403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.92 : 7,597.29 = 1,602.17 : x
  2. Step 2: Convert to fraction form
    5,064.92/7,597.29 = 1,602.17/x
  3. Step 3: Cross multiply
    5,064.92x = 7,597.29 × 1,602.17
  4. Step 4: Simplify right side
    5,064.92x = 12,172,150.12
  5. Step 5: Solve for x
    x = 12,172,150.12/5,064.92
  6. Step 6: Final answer
    x = 2,403.23

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