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Finding the Fourth Proportional to 5,770.68, 8,656.02 and 1,610.70

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Solution

The fourth proportional to 5,770.68, 8,656.02 and 1,610.70 is: 2,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.68 : 8,656.02 = 1,610.70 : x
  2. Step 2: Convert to fraction form
    5,770.68/8,656.02 = 1,610.70/x
  3. Step 3: Cross multiply
    5,770.68x = 8,656.02 × 1,610.70
  4. Step 4: Simplify right side
    5,770.68x = 13,942,251.41
  5. Step 5: Solve for x
    x = 13,942,251.41/5,770.68
  6. Step 6: Final answer
    x = 2,416.05

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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.