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Finding the Fourth Proportional to 5,530.96, 7,632.14 and 3,406.15

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Solution

The fourth proportional to 5,530.96, 7,632.14 and 3,406.15 is: 4,700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.96 : 7,632.14 = 3,406.15 : x
  2. Step 2: Convert to fraction form
    5,530.96/7,632.14 = 3,406.15/x
  3. Step 3: Cross multiply
    5,530.96x = 7,632.14 × 3,406.15
  4. Step 4: Simplify right side
    5,530.96x = 25,996,203.10
  5. Step 5: Solve for x
    x = 25,996,203.10/5,530.96
  6. Step 6: Final answer
    x = 4,700.13

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