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Finding the Fourth Proportional to 5,822.50, 8,035.05 and 3,726.76

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Solution

The fourth proportional to 5,822.50, 8,035.05 and 3,726.76 is: 5,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.50 : 8,035.05 = 3,726.76 : x
  2. Step 2: Convert to fraction form
    5,822.50/8,035.05 = 3,726.76/x
  3. Step 3: Cross multiply
    5,822.50x = 8,035.05 × 3,726.76
  4. Step 4: Simplify right side
    5,822.50x = 29,944,702.94
  5. Step 5: Solve for x
    x = 29,944,702.94/5,822.50
  6. Step 6: Final answer
    x = 5,142.93

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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.