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Finding the Fourth Proportional to 5,862.16, 8,089.86 and 3,209.68

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Solution

The fourth proportional to 5,862.16, 8,089.86 and 3,209.68 is: 4,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.16 : 8,089.86 = 3,209.68 : x
  2. Step 2: Convert to fraction form
    5,862.16/8,089.86 = 3,209.68/x
  3. Step 3: Cross multiply
    5,862.16x = 8,089.86 × 3,209.68
  4. Step 4: Simplify right side
    5,862.16x = 25,965,861.84
  5. Step 5: Solve for x
    x = 25,965,861.84/5,862.16
  6. Step 6: Final answer
    x = 4,429.40

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1.5x scale

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.