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Finding the Fourth Proportional to 4,754.75, 7,125.84 and 3,442.91

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Solution

The fourth proportional to 4,754.75, 7,125.84 and 3,442.91 is: 5,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.75 : 7,125.84 = 3,442.91 : x
  2. Step 2: Convert to fraction form
    4,754.75/7,125.84 = 3,442.91/x
  3. Step 3: Cross multiply
    4,754.75x = 7,125.84 × 3,442.91
  4. Step 4: Simplify right side
    4,754.75x = 24,533,590.17
  5. Step 5: Solve for x
    x = 24,533,590.17/4,754.75
  6. Step 6: Final answer
    x = 5,159.81

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