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Finding the Fourth Proportional to 3,217.65, 4,828.13 and 2,437.39

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Solution

The fourth proportional to 3,217.65, 4,828.13 and 2,437.39 is: 3,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.65 : 4,828.13 = 2,437.39 : x
  2. Step 2: Convert to fraction form
    3,217.65/4,828.13 = 2,437.39/x
  3. Step 3: Cross multiply
    3,217.65x = 4,828.13 × 2,437.39
  4. Step 4: Simplify right side
    3,217.65x = 11,768,035.34
  5. Step 5: Solve for x
    x = 11,768,035.34/3,217.65
  6. Step 6: Final answer
    x = 3,657.34

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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.