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Finding the Fourth Proportional to 3,707.97, 5,116.53 and 2,114.80

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Solution

The fourth proportional to 3,707.97, 5,116.53 and 2,114.80 is: 2,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.97 : 5,116.53 = 2,114.80 : x
  2. Step 2: Convert to fraction form
    3,707.97/5,116.53 = 2,114.80/x
  3. Step 3: Cross multiply
    3,707.97x = 5,116.53 × 2,114.80
  4. Step 4: Simplify right side
    3,707.97x = 10,820,437.64
  5. Step 5: Solve for x
    x = 10,820,437.64/3,707.97
  6. Step 6: Final answer
    x = 2,918.16

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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.