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Finding the Fourth Proportional to 3,532.86, 4,872.58 and 2,470.28

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Solution

The fourth proportional to 3,532.86, 4,872.58 and 2,470.28 is: 3,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.86 : 4,872.58 = 2,470.28 : x
  2. Step 2: Convert to fraction form
    3,532.86/4,872.58 = 2,470.28/x
  3. Step 3: Cross multiply
    3,532.86x = 4,872.58 × 2,470.28
  4. Step 4: Simplify right side
    3,532.86x = 12,036,636.92
  5. Step 5: Solve for x
    x = 12,036,636.92/3,532.86
  6. Step 6: Final answer
    x = 3,407.05

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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.