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Finding the Fourth Proportional to 3,746.74, 5,170.79 and 2,068.47

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Solution

The fourth proportional to 3,746.74, 5,170.79 and 2,068.47 is: 2,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.74 : 5,170.79 = 2,068.47 : x
  2. Step 2: Convert to fraction form
    3,746.74/5,170.79 = 2,068.47/x
  3. Step 3: Cross multiply
    3,746.74x = 5,170.79 × 2,068.47
  4. Step 4: Simplify right side
    3,746.74x = 10,695,617.53
  5. Step 5: Solve for x
    x = 10,695,617.53/3,746.74
  6. Step 6: Final answer
    x = 2,854.65

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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.