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Finding the Fourth Proportional to 3,665.68, 5,497.52 and 1,444.16

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Solution

The fourth proportional to 3,665.68, 5,497.52 and 1,444.16 is: 2,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.68 : 5,497.52 = 1,444.16 : x
  2. Step 2: Convert to fraction form
    3,665.68/5,497.52 = 1,444.16/x
  3. Step 3: Cross multiply
    3,665.68x = 5,497.52 × 1,444.16
  4. Step 4: Simplify right side
    3,665.68x = 7,939,298.48
  5. Step 5: Solve for x
    x = 7,939,298.48/3,665.68
  6. Step 6: Final answer
    x = 2,165.85

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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.