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Finding the Fourth Proportional to 5,509.59, 8,264.79 and 1,614.12

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Solution

The fourth proportional to 5,509.59, 8,264.79 and 1,614.12 is: 2,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.59 : 8,264.79 = 1,614.12 : x
  2. Step 2: Convert to fraction form
    5,509.59/8,264.79 = 1,614.12/x
  3. Step 3: Cross multiply
    5,509.59x = 8,264.79 × 1,614.12
  4. Step 4: Simplify right side
    5,509.59x = 13,340,362.83
  5. Step 5: Solve for x
    x = 13,340,362.83/5,509.59
  6. Step 6: Final answer
    x = 2,421.30

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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.