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Finding the Fourth Proportional to 3,772.81, 5,656.58 and 1,432.95

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Solution

The fourth proportional to 3,772.81, 5,656.58 and 1,432.95 is: 2,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.81 : 5,656.58 = 1,432.95 : x
  2. Step 2: Convert to fraction form
    3,772.81/5,656.58 = 1,432.95/x
  3. Step 3: Cross multiply
    3,772.81x = 5,656.58 × 1,432.95
  4. Step 4: Simplify right side
    3,772.81x = 8,105,596.31
  5. Step 5: Solve for x
    x = 8,105,596.31/3,772.81
  6. Step 6: Final answer
    x = 2,148.42

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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.