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Finding the Fourth Proportional to 5,726.50, 7,903.26 and 3,488.70

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Solution

The fourth proportional to 5,726.50, 7,903.26 and 3,488.70 is: 4,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.50 : 7,903.26 = 3,488.70 : x
  2. Step 2: Convert to fraction form
    5,726.50/7,903.26 = 3,488.70/x
  3. Step 3: Cross multiply
    5,726.50x = 7,903.26 × 3,488.70
  4. Step 4: Simplify right side
    5,726.50x = 27,572,103.16
  5. Step 5: Solve for x
    x = 27,572,103.16/5,726.50
  6. Step 6: Final answer
    x = 4,814.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.