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Finding the Fourth Proportional to 5,414.40, 7,475.28 and 4,854

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Solution

The fourth proportional to 5,414.40, 7,475.28 and 4,854 is: 6,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.40 : 7,475.28 = 4,854 : x
  2. Step 2: Convert to fraction form
    5,414.40/7,475.28 = 4,854/x
  3. Step 3: Cross multiply
    5,414.40x = 7,475.28 × 4,854
  4. Step 4: Simplify right side
    5,414.40x = 36,285,009.12
  5. Step 5: Solve for x
    x = 36,285,009.12/5,414.40
  6. Step 6: Final answer
    x = 6,701.58

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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.