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Finding the Fourth Proportional to 5,862.16, 8,090 and 3,209.68

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Solution

The fourth proportional to 5,862.16, 8,090 and 3,209.68 is: 4,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.16 : 8,090 = 3,209.68 : x
  2. Step 2: Convert to fraction form
    5,862.16/8,090 = 3,209.68/x
  3. Step 3: Cross multiply
    5,862.16x = 8,090 × 3,209.68
  4. Step 4: Simplify right side
    5,862.16x = 25,966,311.20
  5. Step 5: Solve for x
    x = 25,966,311.20/5,862.16
  6. Step 6: Final answer
    x = 4,429.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.