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Finding the Fourth Proportional to 5,861.64, 8,089.14 and 3,209.16

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Solution

The fourth proportional to 5,861.64, 8,089.14 and 3,209.16 is: 4,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.64 : 8,089.14 = 3,209.16 : x
  2. Step 2: Convert to fraction form
    5,861.64/8,089.14 = 3,209.16/x
  3. Step 3: Cross multiply
    5,861.64x = 8,089.14 × 3,209.16
  4. Step 4: Simplify right side
    5,861.64x = 25,959,344.52
  5. Step 5: Solve for x
    x = 25,959,344.52/5,861.64
  6. Step 6: Final answer
    x = 4,428.68

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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.