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Finding the Fourth Proportional to 3,718.32, 5,131.72 and 2,146.38

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Solution

The fourth proportional to 3,718.32, 5,131.72 and 2,146.38 is: 2,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.32 : 5,131.72 = 2,146.38 : x
  2. Step 2: Convert to fraction form
    3,718.32/5,131.72 = 2,146.38/x
  3. Step 3: Cross multiply
    3,718.32x = 5,131.72 × 2,146.38
  4. Step 4: Simplify right side
    3,718.32x = 11,014,621.17
  5. Step 5: Solve for x
    x = 11,014,621.17/3,718.32
  6. Step 6: Final answer
    x = 2,962.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.