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Finding the Fourth Proportional to 5,810.84, 8,019 and 3,158.27

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Solution

The fourth proportional to 5,810.84, 8,019 and 3,158.27 is: 4,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.84 : 8,019 = 3,158.27 : x
  2. Step 2: Convert to fraction form
    5,810.84/8,019 = 3,158.27/x
  3. Step 3: Cross multiply
    5,810.84x = 8,019 × 3,158.27
  4. Step 4: Simplify right side
    5,810.84x = 25,326,167.13
  5. Step 5: Solve for x
    x = 25,326,167.13/5,810.84
  6. Step 6: Final answer
    x = 4,358.43

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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.