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Finding the Fourth Proportional to 3,585.60, 5,378.81 and 1,737.72

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Solution

The fourth proportional to 3,585.60, 5,378.81 and 1,737.72 is: 2,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.60 : 5,378.81 = 1,737.72 : x
  2. Step 2: Convert to fraction form
    3,585.60/5,378.81 = 1,737.72/x
  3. Step 3: Cross multiply
    3,585.60x = 5,378.81 × 1,737.72
  4. Step 4: Simplify right side
    3,585.60x = 9,346,857.02
  5. Step 5: Solve for x
    x = 9,346,857.02/3,585.60
  6. Step 6: Final answer
    x = 2,606.78

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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.