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Finding the Fourth Proportional to 5,726.22, 7,898.79 and 3,626.70

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Solution

The fourth proportional to 5,726.22, 7,898.79 and 3,626.70 is: 5,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.22 : 7,898.79 = 3,626.70 : x
  2. Step 2: Convert to fraction form
    5,726.22/7,898.79 = 3,626.70/x
  3. Step 3: Cross multiply
    5,726.22x = 7,898.79 × 3,626.70
  4. Step 4: Simplify right side
    5,726.22x = 28,646,541.69
  5. Step 5: Solve for x
    x = 28,646,541.69/5,726.22
  6. Step 6: Final answer
    x = 5,002.70

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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.