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Finding the Fourth Proportional to 3,750.61, 5,174.13 and 2,178.40

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Solution

The fourth proportional to 3,750.61, 5,174.13 and 2,178.40 is: 3,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.61 : 5,174.13 = 2,178.40 : x
  2. Step 2: Convert to fraction form
    3,750.61/5,174.13 = 2,178.40/x
  3. Step 3: Cross multiply
    3,750.61x = 5,174.13 × 2,178.40
  4. Step 4: Simplify right side
    3,750.61x = 11,271,324.79
  5. Step 5: Solve for x
    x = 11,271,324.79/3,750.61
  6. Step 6: Final answer
    x = 3,005.20

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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.