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Finding the Fourth Proportional to 4,153.16, 5,731.34 and 2,290.16

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Solution

The fourth proportional to 4,153.16, 5,731.34 and 2,290.16 is: 3,160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.16 : 5,731.34 = 2,290.16 : x
  2. Step 2: Convert to fraction form
    4,153.16/5,731.34 = 2,290.16/x
  3. Step 3: Cross multiply
    4,153.16x = 5,731.34 × 2,290.16
  4. Step 4: Simplify right side
    4,153.16x = 13,125,685.61
  5. Step 5: Solve for x
    x = 13,125,685.61/4,153.16
  6. Step 6: Final answer
    x = 3,160.41

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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.