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Finding the Fourth Proportional to 3,751.66, 5,176.98 and 2,158.22

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Solution

The fourth proportional to 3,751.66, 5,176.98 and 2,158.22 is: 2,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.66 : 5,176.98 = 2,158.22 : x
  2. Step 2: Convert to fraction form
    3,751.66/5,176.98 = 2,158.22/x
  3. Step 3: Cross multiply
    3,751.66x = 5,176.98 × 2,158.22
  4. Step 4: Simplify right side
    3,751.66x = 11,173,061.78
  5. Step 5: Solve for x
    x = 11,173,061.78/3,751.66
  6. Step 6: Final answer
    x = 2,978.16

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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.