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Finding the Fourth Proportional to 5,461.67, 7,538.70 and 4,723.55

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Solution

The fourth proportional to 5,461.67, 7,538.70 and 4,723.55 is: 6,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.67 : 7,538.70 = 4,723.55 : x
  2. Step 2: Convert to fraction form
    5,461.67/7,538.70 = 4,723.55/x
  3. Step 3: Cross multiply
    5,461.67x = 7,538.70 × 4,723.55
  4. Step 4: Simplify right side
    5,461.67x = 35,609,426.39
  5. Step 5: Solve for x
    x = 35,609,426.39/5,461.67
  6. Step 6: Final answer
    x = 6,519.88

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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.