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Finding the Fourth Proportional to 4,934.56, 7,402.56 and 1,647.04

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Solution

The fourth proportional to 4,934.56, 7,402.56 and 1,647.04 is: 2,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.56 : 7,402.56 = 1,647.04 : x
  2. Step 2: Convert to fraction form
    4,934.56/7,402.56 = 1,647.04/x
  3. Step 3: Cross multiply
    4,934.56x = 7,402.56 × 1,647.04
  4. Step 4: Simplify right side
    4,934.56x = 12,192,312.42
  5. Step 5: Solve for x
    x = 12,192,312.42/4,934.56
  6. Step 6: Final answer
    x = 2,470.80

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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.