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Finding the Fourth Proportional to 3,459.76, 5,189.80 and 994.76

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Solution

The fourth proportional to 3,459.76, 5,189.80 and 994.76 is: 1,492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.76 : 5,189.80 = 994.76 : x
  2. Step 2: Convert to fraction form
    3,459.76/5,189.80 = 994.76/x
  3. Step 3: Cross multiply
    3,459.76x = 5,189.80 × 994.76
  4. Step 4: Simplify right side
    3,459.76x = 5,162,605.45
  5. Step 5: Solve for x
    x = 5,162,605.45/3,459.76
  6. Step 6: Final answer
    x = 1,492.19

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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.