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Finding the Fourth Proportional to 3,710.40, 5,119.50 and 2,218.06

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Solution

The fourth proportional to 3,710.40, 5,119.50 and 2,218.06 is: 3,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.40 : 5,119.50 = 2,218.06 : x
  2. Step 2: Convert to fraction form
    3,710.40/5,119.50 = 2,218.06/x
  3. Step 3: Cross multiply
    3,710.40x = 5,119.50 × 2,218.06
  4. Step 4: Simplify right side
    3,710.40x = 11,355,358.17
  5. Step 5: Solve for x
    x = 11,355,358.17/3,710.40
  6. Step 6: Final answer
    x = 3,060.42

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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.