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Finding the Fourth Proportional to 4,934.48, 7,401.66 and 1,471.76

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Solution

The fourth proportional to 4,934.48, 7,401.66 and 1,471.76 is: 2,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.48 : 7,401.66 = 1,471.76 : x
  2. Step 2: Convert to fraction form
    4,934.48/7,401.66 = 1,471.76/x
  3. Step 3: Cross multiply
    4,934.48x = 7,401.66 × 1,471.76
  4. Step 4: Simplify right side
    4,934.48x = 10,893,467.12
  5. Step 5: Solve for x
    x = 10,893,467.12/4,934.48
  6. Step 6: Final answer
    x = 2,207.62

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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.