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Finding the Fourth Proportional to 4,160.44, 5,729.16 and 3,718.18

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Solution

The fourth proportional to 4,160.44, 5,729.16 and 3,718.18 is: 5,120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.44 : 5,729.16 = 3,718.18 : x
  2. Step 2: Convert to fraction form
    4,160.44/5,729.16 = 3,718.18/x
  3. Step 3: Cross multiply
    4,160.44x = 5,729.16 × 3,718.18
  4. Step 4: Simplify right side
    4,160.44x = 21,302,048.13
  5. Step 5: Solve for x
    x = 21,302,048.13/4,160.44
  6. Step 6: Final answer
    x = 5,120.14

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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.