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Finding the Fourth Proportional to 4,934.52, 7,402.25 and 1,647.84

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Solution

The fourth proportional to 4,934.52, 7,402.25 and 1,647.84 is: 2,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.52 : 7,402.25 = 1,647.84 : x
  2. Step 2: Convert to fraction form
    4,934.52/7,402.25 = 1,647.84/x
  3. Step 3: Cross multiply
    4,934.52x = 7,402.25 × 1,647.84
  4. Step 4: Simplify right side
    4,934.52x = 12,197,715.40
  5. Step 5: Solve for x
    x = 12,197,715.40/4,934.52
  6. Step 6: Final answer
    x = 2,471.92

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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.