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Finding the Fourth Proportional to 3,741.48, 5,612.88 and 3,054.24

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Solution

The fourth proportional to 3,741.48, 5,612.88 and 3,054.24 is: 4,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.48 : 5,612.88 = 3,054.24 : x
  2. Step 2: Convert to fraction form
    3,741.48/5,612.88 = 3,054.24/x
  3. Step 3: Cross multiply
    3,741.48x = 5,612.88 × 3,054.24
  4. Step 4: Simplify right side
    3,741.48x = 17,143,082.61
  5. Step 5: Solve for x
    x = 17,143,082.61/3,741.48
  6. Step 6: Final answer
    x = 4,581.90

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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.