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Finding the Fourth Proportional to 5,854.79, 8,085.02 and 3,762.59

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Solution

The fourth proportional to 5,854.79, 8,085.02 and 3,762.59 is: 5,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.79 : 8,085.02 = 3,762.59 : x
  2. Step 2: Convert to fraction form
    5,854.79/8,085.02 = 3,762.59/x
  3. Step 3: Cross multiply
    5,854.79x = 8,085.02 × 3,762.59
  4. Step 4: Simplify right side
    5,854.79x = 30,420,584.38
  5. Step 5: Solve for x
    x = 30,420,584.38/5,854.79
  6. Step 6: Final answer
    x = 5,195.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.