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Finding the Fourth Proportional to 3,710.70, 5,120.40 and 2,117.43

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Solution

The fourth proportional to 3,710.70, 5,120.40 and 2,117.43 is: 2,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.70 : 5,120.40 = 2,117.43 : x
  2. Step 2: Convert to fraction form
    3,710.70/5,120.40 = 2,117.43/x
  3. Step 3: Cross multiply
    3,710.70x = 5,120.40 × 2,117.43
  4. Step 4: Simplify right side
    3,710.70x = 10,842,088.57
  5. Step 5: Solve for x
    x = 10,842,088.57/3,710.70
  6. Step 6: Final answer
    x = 2,921.84

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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.