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Finding the Fourth Proportional to 3,612.65, 5,419.96 and 1,532.77

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Solution

The fourth proportional to 3,612.65, 5,419.96 and 1,532.77 is: 2,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.65 : 5,419.96 = 1,532.77 : x
  2. Step 2: Convert to fraction form
    3,612.65/5,419.96 = 1,532.77/x
  3. Step 3: Cross multiply
    3,612.65x = 5,419.96 × 1,532.77
  4. Step 4: Simplify right side
    3,612.65x = 8,307,573.82
  5. Step 5: Solve for x
    x = 8,307,573.82/3,612.65
  6. Step 6: Final answer
    x = 2,299.58

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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.