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Finding the Fourth Proportional to 3,697.10, 5,101.70 and 2,124.90

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Solution

The fourth proportional to 3,697.10, 5,101.70 and 2,124.90 is: 2,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.10 : 5,101.70 = 2,124.90 : x
  2. Step 2: Convert to fraction form
    3,697.10/5,101.70 = 2,124.90/x
  3. Step 3: Cross multiply
    3,697.10x = 5,101.70 × 2,124.90
  4. Step 4: Simplify right side
    3,697.10x = 10,840,602.33
  5. Step 5: Solve for x
    x = 10,840,602.33/3,697.10
  6. Step 6: Final answer
    x = 2,932.19

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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.