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Finding the Fourth Proportional to 3,862.89, 5,330.51 and 2,184.00

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Solution

The fourth proportional to 3,862.89, 5,330.51 and 2,184.00 is: 3,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.89 : 5,330.51 = 2,184.00 : x
  2. Step 2: Convert to fraction form
    3,862.89/5,330.51 = 2,184.00/x
  3. Step 3: Cross multiply
    3,862.89x = 5,330.51 × 2,184.00
  4. Step 4: Simplify right side
    3,862.89x = 11,641,811.12
  5. Step 5: Solve for x
    x = 11,641,811.12/3,862.89
  6. Step 6: Final answer
    x = 3,013.76

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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.