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Finding the Fourth Proportional to 4,301.64, 6,452.39 and 1,526.78

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Solution

The fourth proportional to 4,301.64, 6,452.39 and 1,526.78 is: 2,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.64 : 6,452.39 = 1,526.78 : x
  2. Step 2: Convert to fraction form
    4,301.64/6,452.39 = 1,526.78/x
  3. Step 3: Cross multiply
    4,301.64x = 6,452.39 × 1,526.78
  4. Step 4: Simplify right side
    4,301.64x = 9,851,380.00
  5. Step 5: Solve for x
    x = 9,851,380.00/4,301.64
  6. Step 6: Final answer
    x = 2,290.15

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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.