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Finding the Fourth Proportional to 5,509.78, 8,265.99 and 1,614.10

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Solution

The fourth proportional to 5,509.78, 8,265.99 and 1,614.10 is: 2,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.78 : 8,265.99 = 1,614.10 : x
  2. Step 2: Convert to fraction form
    5,509.78/8,265.99 = 1,614.10/x
  3. Step 3: Cross multiply
    5,509.78x = 8,265.99 × 1,614.10
  4. Step 4: Simplify right side
    5,509.78x = 13,342,134.46
  5. Step 5: Solve for x
    x = 13,342,134.46/5,509.78
  6. Step 6: Final answer
    x = 2,421.54

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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.