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Finding the Fourth Proportional to 3,707.54, 5,116.46 and 2,029.02

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Solution

The fourth proportional to 3,707.54, 5,116.46 and 2,029.02 is: 2,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.54 : 5,116.46 = 2,029.02 : x
  2. Step 2: Convert to fraction form
    3,707.54/5,116.46 = 2,029.02/x
  3. Step 3: Cross multiply
    3,707.54x = 5,116.46 × 2,029.02
  4. Step 4: Simplify right side
    3,707.54x = 10,381,399.67
  5. Step 5: Solve for x
    x = 10,381,399.67/3,707.54
  6. Step 6: Final answer
    x = 2,800.08

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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.