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Finding the Fourth Proportional to 3,862.66, 5,330.43 and 2,184.16

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Solution

The fourth proportional to 3,862.66, 5,330.43 and 2,184.16 is: 3,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.66 : 5,330.43 = 2,184.16 : x
  2. Step 2: Convert to fraction form
    3,862.66/5,330.43 = 2,184.16/x
  3. Step 3: Cross multiply
    3,862.66x = 5,330.43 × 2,184.16
  4. Step 4: Simplify right side
    3,862.66x = 11,642,511.99
  5. Step 5: Solve for x
    x = 11,642,511.99/3,862.66
  6. Step 6: Final answer
    x = 3,014.12

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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.