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Finding the Fourth Proportional to 3,862.69, 5,790.08 and 1,887.30

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Solution

The fourth proportional to 3,862.69, 5,790.08 and 1,887.30 is: 2,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 5,790.08 = 1,887.30 : x
  2. Step 2: Convert to fraction form
    3,862.69/5,790.08 = 1,887.30/x
  3. Step 3: Cross multiply
    3,862.69x = 5,790.08 × 1,887.30
  4. Step 4: Simplify right side
    3,862.69x = 10,927,622.70
  5. Step 5: Solve for x
    x = 10,927,622.70/3,862.69
  6. Step 6: Final answer
    x = 2,829.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.