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Finding the Fourth Proportional to 5,713.40, 8,578.20 and 3,526.40

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Solution

The fourth proportional to 5,713.40, 8,578.20 and 3,526.40 is: 5,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.40 : 8,578.20 = 3,526.40 : x
  2. Step 2: Convert to fraction form
    5,713.40/8,578.20 = 3,526.40/x
  3. Step 3: Cross multiply
    5,713.40x = 8,578.20 × 3,526.40
  4. Step 4: Simplify right side
    5,713.40x = 30,250,164.48
  5. Step 5: Solve for x
    x = 30,250,164.48/5,713.40
  6. Step 6: Final answer
    x = 5,294.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.