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Finding the Fourth Proportional to 5,713.57, 8,570.55 and 1,965.32

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Solution

The fourth proportional to 5,713.57, 8,570.55 and 1,965.32 is: 2,948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.57 : 8,570.55 = 1,965.32 : x
  2. Step 2: Convert to fraction form
    5,713.57/8,570.55 = 1,965.32/x
  3. Step 3: Cross multiply
    5,713.57x = 8,570.55 × 1,965.32
  4. Step 4: Simplify right side
    5,713.57x = 16,843,823.10
  5. Step 5: Solve for x
    x = 16,843,823.10/5,713.57
  6. Step 6: Final answer
    x = 2,948.04

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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.