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Finding the Fourth Proportional to 3,746.75, 5,170.51 and 2,068.16

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Solution

The fourth proportional to 3,746.75, 5,170.51 and 2,068.16 is: 2,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.75 : 5,170.51 = 2,068.16 : x
  2. Step 2: Convert to fraction form
    3,746.75/5,170.51 = 2,068.16/x
  3. Step 3: Cross multiply
    3,746.75x = 5,170.51 × 2,068.16
  4. Step 4: Simplify right side
    3,746.75x = 10,693,441.96
  5. Step 5: Solve for x
    x = 10,693,441.96/3,746.75
  6. Step 6: Final answer
    x = 2,854.06

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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.