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Finding the Fourth Proportional to 3,862.70, 5,330.21 and 2,184.25

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Solution

The fourth proportional to 3,862.70, 5,330.21 and 2,184.25 is: 3,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.70 : 5,330.21 = 2,184.25 : x
  2. Step 2: Convert to fraction form
    3,862.70/5,330.21 = 2,184.25/x
  3. Step 3: Cross multiply
    3,862.70x = 5,330.21 × 2,184.25
  4. Step 4: Simplify right side
    3,862.70x = 11,642,511.19
  5. Step 5: Solve for x
    x = 11,642,511.19/3,862.70
  6. Step 6: Final answer
    x = 3,014.09

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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.