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Finding the Fourth Proportional to 3,585.64, 5,381.71 and 1,507.18

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Solution

The fourth proportional to 3,585.64, 5,381.71 and 1,507.18 is: 2,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.64 : 5,381.71 = 1,507.18 : x
  2. Step 2: Convert to fraction form
    3,585.64/5,381.71 = 1,507.18/x
  3. Step 3: Cross multiply
    3,585.64x = 5,381.71 × 1,507.18
  4. Step 4: Simplify right side
    3,585.64x = 8,111,211.60
  5. Step 5: Solve for x
    x = 8,111,211.60/3,585.64
  6. Step 6: Final answer
    x = 2,262.14

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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.