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Finding the Fourth Proportional to 5,242.64, 7,863.42 and 1,732.52

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Solution

The fourth proportional to 5,242.64, 7,863.42 and 1,732.52 is: 2,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.64 : 7,863.42 = 1,732.52 : x
  2. Step 2: Convert to fraction form
    5,242.64/7,863.42 = 1,732.52/x
  3. Step 3: Cross multiply
    5,242.64x = 7,863.42 × 1,732.52
  4. Step 4: Simplify right side
    5,242.64x = 13,623,532.42
  5. Step 5: Solve for x
    x = 13,623,532.42/5,242.64
  6. Step 6: Final answer
    x = 2,598.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.