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Finding the Fourth Proportional to 4,513.64, 6,771 and 1,591.34

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Solution

The fourth proportional to 4,513.64, 6,771 and 1,591.34 is: 2,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.64 : 6,771 = 1,591.34 : x
  2. Step 2: Convert to fraction form
    4,513.64/6,771 = 1,591.34/x
  3. Step 3: Cross multiply
    4,513.64x = 6,771 × 1,591.34
  4. Step 4: Simplify right side
    4,513.64x = 10,774,963.14
  5. Step 5: Solve for x
    x = 10,774,963.14/4,513.64
  6. Step 6: Final answer
    x = 2,387.20

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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.