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Finding the Fourth Proportional to 3,057.63, 4,218.41 and 1,862.13

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Solution

The fourth proportional to 3,057.63, 4,218.41 and 1,862.13 is: 2,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.63 : 4,218.41 = 1,862.13 : x
  2. Step 2: Convert to fraction form
    3,057.63/4,218.41 = 1,862.13/x
  3. Step 3: Cross multiply
    3,057.63x = 4,218.41 × 1,862.13
  4. Step 4: Simplify right side
    3,057.63x = 7,855,206.72
  5. Step 5: Solve for x
    x = 7,855,206.72/3,057.63
  6. Step 6: Final answer
    x = 2,569.05

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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.