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Finding the Fourth Proportional to 5,854.53, 8,078.15 and 3,463.95

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Solution

The fourth proportional to 5,854.53, 8,078.15 and 3,463.95 is: 4,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.53 : 8,078.15 = 3,463.95 : x
  2. Step 2: Convert to fraction form
    5,854.53/8,078.15 = 3,463.95/x
  3. Step 3: Cross multiply
    5,854.53x = 8,078.15 × 3,463.95
  4. Step 4: Simplify right side
    5,854.53x = 27,982,316.35
  5. Step 5: Solve for x
    x = 27,982,316.35/5,854.53
  6. Step 6: Final answer
    x = 4,779.60

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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.