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Finding the Fourth Proportional to 5,854.61, 8,079.01 and 3,201.53

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Solution

The fourth proportional to 5,854.61, 8,079.01 and 3,201.53 is: 4,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.61 : 8,079.01 = 3,201.53 : x
  2. Step 2: Convert to fraction form
    5,854.61/8,079.01 = 3,201.53/x
  3. Step 3: Cross multiply
    5,854.61x = 8,079.01 × 3,201.53
  4. Step 4: Simplify right side
    5,854.61x = 25,865,144.49
  5. Step 5: Solve for x
    x = 25,865,144.49/5,854.61
  6. Step 6: Final answer
    x = 4,417.91

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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.