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Finding the Fourth Proportional to 3,472.86, 5,210.08 and 2,500.86

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Solution

The fourth proportional to 3,472.86, 5,210.08 and 2,500.86 is: 3,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.86 : 5,210.08 = 2,500.86 : x
  2. Step 2: Convert to fraction form
    3,472.86/5,210.08 = 2,500.86/x
  3. Step 3: Cross multiply
    3,472.86x = 5,210.08 × 2,500.86
  4. Step 4: Simplify right side
    3,472.86x = 13,029,680.67
  5. Step 5: Solve for x
    x = 13,029,680.67/3,472.86
  6. Step 6: Final answer
    x = 3,751.86

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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.