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Finding the Fourth Proportional to 3,532.95, 4,876.20 and 2,470.43

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Solution

The fourth proportional to 3,532.95, 4,876.20 and 2,470.43 is: 3,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.95 : 4,876.20 = 2,470.43 : x
  2. Step 2: Convert to fraction form
    3,532.95/4,876.20 = 2,470.43/x
  3. Step 3: Cross multiply
    3,532.95x = 4,876.20 × 2,470.43
  4. Step 4: Simplify right side
    3,532.95x = 12,046,322.96
  5. Step 5: Solve for x
    x = 12,046,322.96/3,532.95
  6. Step 6: Final answer
    x = 3,409.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.