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Finding the Fourth Proportional to 4,534.62, 6,255.54 and 2,854.14

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Solution

The fourth proportional to 4,534.62, 6,255.54 and 2,854.14 is: 3,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.62 : 6,255.54 = 2,854.14 : x
  2. Step 2: Convert to fraction form
    4,534.62/6,255.54 = 2,854.14/x
  3. Step 3: Cross multiply
    4,534.62x = 6,255.54 × 2,854.14
  4. Step 4: Simplify right side
    4,534.62x = 17,854,186.94
  5. Step 5: Solve for x
    x = 17,854,186.94/4,534.62
  6. Step 6: Final answer
    x = 3,937.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.