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Finding the Fourth Proportional to 3,508.70, 5,264.42 and 1,559.57

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Solution

The fourth proportional to 3,508.70, 5,264.42 and 1,559.57 is: 2,339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.70 : 5,264.42 = 1,559.57 : x
  2. Step 2: Convert to fraction form
    3,508.70/5,264.42 = 1,559.57/x
  3. Step 3: Cross multiply
    3,508.70x = 5,264.42 × 1,559.57
  4. Step 4: Simplify right side
    3,508.70x = 8,210,197.38
  5. Step 5: Solve for x
    x = 8,210,197.38/3,508.70
  6. Step 6: Final answer
    x = 2,339.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.