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Finding the Fourth Proportional to 3,591.72, 5,386.14 and 1,283.40

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Solution

The fourth proportional to 3,591.72, 5,386.14 and 1,283.40 is: 1,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.72 : 5,386.14 = 1,283.40 : x
  2. Step 2: Convert to fraction form
    3,591.72/5,386.14 = 1,283.40/x
  3. Step 3: Cross multiply
    3,591.72x = 5,386.14 × 1,283.40
  4. Step 4: Simplify right side
    3,591.72x = 6,912,572.08
  5. Step 5: Solve for x
    x = 6,912,572.08/3,591.72
  6. Step 6: Final answer
    x = 1,924.59

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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.