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Finding the Fourth Proportional to 4,972.69, 7,459.89 and 2,049.40

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Solution

The fourth proportional to 4,972.69, 7,459.89 and 2,049.40 is: 3,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.69 : 7,459.89 = 2,049.40 : x
  2. Step 2: Convert to fraction form
    4,972.69/7,459.89 = 2,049.40/x
  3. Step 3: Cross multiply
    4,972.69x = 7,459.89 × 2,049.40
  4. Step 4: Simplify right side
    4,972.69x = 15,288,298.57
  5. Step 5: Solve for x
    x = 15,288,298.57/4,972.69
  6. Step 6: Final answer
    x = 3,074.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.