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Finding the Fourth Proportional to 4,158.12, 5,738.12 and 2,269.72

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Solution

The fourth proportional to 4,158.12, 5,738.12 and 2,269.72 is: 3,132.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.12 : 5,738.12 = 2,269.72 : x
  2. Step 2: Convert to fraction form
    4,158.12/5,738.12 = 2,269.72/x
  3. Step 3: Cross multiply
    4,158.12x = 5,738.12 × 2,269.72
  4. Step 4: Simplify right side
    4,158.12x = 13,023,925.73
  5. Step 5: Solve for x
    x = 13,023,925.73/4,158.12
  6. Step 6: Final answer
    x = 3,132.17

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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.