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Finding the Fourth Proportional to 4,298.64, 6,447.72 and 1,525.20

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Solution

The fourth proportional to 4,298.64, 6,447.72 and 1,525.20 is: 2,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.64 : 6,447.72 = 1,525.20 : x
  2. Step 2: Convert to fraction form
    4,298.64/6,447.72 = 1,525.20/x
  3. Step 3: Cross multiply
    4,298.64x = 6,447.72 × 1,525.20
  4. Step 4: Simplify right side
    4,298.64x = 9,834,062.54
  5. Step 5: Solve for x
    x = 9,834,062.54/4,298.64
  6. Step 6: Final answer
    x = 2,287.71

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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.