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Finding the Fourth Proportional to 3,213.70, 4,812.45 and 2,565.70

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Solution

The fourth proportional to 3,213.70, 4,812.45 and 2,565.70 is: 3,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.70 : 4,812.45 = 2,565.70 : x
  2. Step 2: Convert to fraction form
    3,213.70/4,812.45 = 2,565.70/x
  3. Step 3: Cross multiply
    3,213.70x = 4,812.45 × 2,565.70
  4. Step 4: Simplify right side
    3,213.70x = 12,347,302.97
  5. Step 5: Solve for x
    x = 12,347,302.97/3,213.70
  6. Step 6: Final answer
    x = 3,842.08

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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.