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Finding the Fourth Proportional to 3,415.29, 5,123.10 and 1,565.57

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Solution

The fourth proportional to 3,415.29, 5,123.10 and 1,565.57 is: 2,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.29 : 5,123.10 = 1,565.57 : x
  2. Step 2: Convert to fraction form
    3,415.29/5,123.10 = 1,565.57/x
  3. Step 3: Cross multiply
    3,415.29x = 5,123.10 × 1,565.57
  4. Step 4: Simplify right side
    3,415.29x = 8,020,555.42
  5. Step 5: Solve for x
    x = 8,020,555.42/3,415.29
  6. Step 6: Final answer
    x = 2,348.43

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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.