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Finding the Fourth Proportional to 5,175.28, 7,759.08 and 4,654

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Solution

The fourth proportional to 5,175.28, 7,759.08 and 4,654 is: 6,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.28 : 7,759.08 = 4,654 : x
  2. Step 2: Convert to fraction form
    5,175.28/7,759.08 = 4,654/x
  3. Step 3: Cross multiply
    5,175.28x = 7,759.08 × 4,654
  4. Step 4: Simplify right side
    5,175.28x = 36,110,758.32
  5. Step 5: Solve for x
    x = 36,110,758.32/5,175.28
  6. Step 6: Final answer
    x = 6,977.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.