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Finding the Fourth Proportional to 4,854.28, 6,684.42 and 4,745.32

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Solution

The fourth proportional to 4,854.28, 6,684.42 and 4,745.32 is: 6,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.28 : 6,684.42 = 4,745.32 : x
  2. Step 2: Convert to fraction form
    4,854.28/6,684.42 = 4,745.32/x
  3. Step 3: Cross multiply
    4,854.28x = 6,684.42 × 4,745.32
  4. Step 4: Simplify right side
    4,854.28x = 31,719,711.91
  5. Step 5: Solve for x
    x = 31,719,711.91/4,854.28
  6. Step 6: Final answer
    x = 6,534.38

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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.