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Finding the Fourth Proportional to 5,822.74, 8,038.97 and 4,008.86

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Solution

The fourth proportional to 5,822.74, 8,038.97 and 4,008.86 is: 5,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.74 : 8,038.97 = 4,008.86 : x
  2. Step 2: Convert to fraction form
    5,822.74/8,038.97 = 4,008.86/x
  3. Step 3: Cross multiply
    5,822.74x = 8,038.97 × 4,008.86
  4. Step 4: Simplify right side
    5,822.74x = 32,227,105.27
  5. Step 5: Solve for x
    x = 32,227,105.27/5,822.74
  6. Step 6: Final answer
    x = 5,534.70

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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.