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Finding the Fourth Proportional to 5,703.12, 7,869.25 and 3,934.08

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Solution

The fourth proportional to 5,703.12, 7,869.25 and 3,934.08 is: 5,428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.12 : 7,869.25 = 3,934.08 : x
  2. Step 2: Convert to fraction form
    5,703.12/7,869.25 = 3,934.08/x
  3. Step 3: Cross multiply
    5,703.12x = 7,869.25 × 3,934.08
  4. Step 4: Simplify right side
    5,703.12x = 30,958,259.04
  5. Step 5: Solve for x
    x = 30,958,259.04/5,703.12
  6. Step 6: Final answer
    x = 5,428.30

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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.