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Finding the Fourth Proportional to 5,827.35, 8,737.56 and 2,315.47

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Solution

The fourth proportional to 5,827.35, 8,737.56 and 2,315.47 is: 3,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.35 : 8,737.56 = 2,315.47 : x
  2. Step 2: Convert to fraction form
    5,827.35/8,737.56 = 2,315.47/x
  3. Step 3: Cross multiply
    5,827.35x = 8,737.56 × 2,315.47
  4. Step 4: Simplify right side
    5,827.35x = 20,231,514.37
  5. Step 5: Solve for x
    x = 20,231,514.37/5,827.35
  6. Step 6: Final answer
    x = 3,471.82

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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.