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Finding the Fourth Proportional to 3,862.92, 5,790.86 and 1,397.18

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Solution

The fourth proportional to 3,862.92, 5,790.86 and 1,397.18 is: 2,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.92 : 5,790.86 = 1,397.18 : x
  2. Step 2: Convert to fraction form
    3,862.92/5,790.86 = 1,397.18/x
  3. Step 3: Cross multiply
    3,862.92x = 5,790.86 × 1,397.18
  4. Step 4: Simplify right side
    3,862.92x = 8,090,886.51
  5. Step 5: Solve for x
    x = 8,090,886.51/3,862.92
  6. Step 6: Final answer
    x = 2,094.50

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Why These Related Problems?

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