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Finding the Fourth Proportional to 4,159.72, 5,734.90 and 3,448.88

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Solution

The fourth proportional to 4,159.72, 5,734.90 and 3,448.88 is: 4,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.72 : 5,734.90 = 3,448.88 : x
  2. Step 2: Convert to fraction form
    4,159.72/5,734.90 = 3,448.88/x
  3. Step 3: Cross multiply
    4,159.72x = 5,734.90 × 3,448.88
  4. Step 4: Simplify right side
    4,159.72x = 19,778,981.91
  5. Step 5: Solve for x
    x = 19,778,981.91/4,159.72
  6. Step 6: Final answer
    x = 4,754.88

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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.