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Finding the Fourth Proportional to 4,290.96, 6,435.20 and 1,517.72

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Solution

The fourth proportional to 4,290.96, 6,435.20 and 1,517.72 is: 2,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.96 : 6,435.20 = 1,517.72 : x
  2. Step 2: Convert to fraction form
    4,290.96/6,435.20 = 1,517.72/x
  3. Step 3: Cross multiply
    4,290.96x = 6,435.20 × 1,517.72
  4. Step 4: Simplify right side
    4,290.96x = 9,766,831.74
  5. Step 5: Solve for x
    x = 9,766,831.74/4,290.96
  6. Step 6: Final answer
    x = 2,276.14

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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.