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Finding the Fourth Proportional to 3,750.87, 5,174.47 and 2,178.66

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Solution

The fourth proportional to 3,750.87, 5,174.47 and 2,178.66 is: 3,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.87 : 5,174.47 = 2,178.66 : x
  2. Step 2: Convert to fraction form
    3,750.87/5,174.47 = 2,178.66/x
  3. Step 3: Cross multiply
    3,750.87x = 5,174.47 × 2,178.66
  4. Step 4: Simplify right side
    3,750.87x = 11,273,410.81
  5. Step 5: Solve for x
    x = 11,273,410.81/3,750.87
  6. Step 6: Final answer
    x = 3,005.55

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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.