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Finding the Fourth Proportional to 5,713.71, 7,885.20 and 3,475.20

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Solution

The fourth proportional to 5,713.71, 7,885.20 and 3,475.20 is: 4,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.71 : 7,885.20 = 3,475.20 : x
  2. Step 2: Convert to fraction form
    5,713.71/7,885.20 = 3,475.20/x
  3. Step 3: Cross multiply
    5,713.71x = 7,885.20 × 3,475.20
  4. Step 4: Simplify right side
    5,713.71x = 27,402,647.04
  5. Step 5: Solve for x
    x = 27,402,647.04/5,713.71
  6. Step 6: Final answer
    x = 4,795.95

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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.