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Finding the Fourth Proportional to 4,926.18, 7,393.98 and 1,809.20

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Solution

The fourth proportional to 4,926.18, 7,393.98 and 1,809.20 is: 2,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.18 : 7,393.98 = 1,809.20 : x
  2. Step 2: Convert to fraction form
    4,926.18/7,393.98 = 1,809.20/x
  3. Step 3: Cross multiply
    4,926.18x = 7,393.98 × 1,809.20
  4. Step 4: Simplify right side
    4,926.18x = 13,377,213.89
  5. Step 5: Solve for x
    x = 13,377,213.89/4,926.18
  6. Step 6: Final answer
    x = 2,715.53

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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.