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Finding the Fourth Proportional to 3,508.85, 5,264.27 and 1,043.72

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Solution

The fourth proportional to 3,508.85, 5,264.27 and 1,043.72 is: 1,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.85 : 5,264.27 = 1,043.72 : x
  2. Step 2: Convert to fraction form
    3,508.85/5,264.27 = 1,043.72/x
  3. Step 3: Cross multiply
    3,508.85x = 5,264.27 × 1,043.72
  4. Step 4: Simplify right side
    3,508.85x = 5,494,392.34
  5. Step 5: Solve for x
    x = 5,494,392.34/3,508.85
  6. Step 6: Final answer
    x = 1,565.87

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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.