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Finding the Fourth Proportional to 5,509.60, 8,265.08 and 1,812.24

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Solution

The fourth proportional to 5,509.60, 8,265.08 and 1,812.24 is: 2,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.60 : 8,265.08 = 1,812.24 : x
  2. Step 2: Convert to fraction form
    5,509.60/8,265.08 = 1,812.24/x
  3. Step 3: Cross multiply
    5,509.60x = 8,265.08 × 1,812.24
  4. Step 4: Simplify right side
    5,509.60x = 14,978,308.58
  5. Step 5: Solve for x
    x = 14,978,308.58/5,509.60
  6. Step 6: Final answer
    x = 2,718.58

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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.