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Finding the Fourth Proportional to 4,934.69, 7,401.74 and 1,647.51

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Solution

The fourth proportional to 4,934.69, 7,401.74 and 1,647.51 is: 2,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.69 : 7,401.74 = 1,647.51 : x
  2. Step 2: Convert to fraction form
    4,934.69/7,401.74 = 1,647.51/x
  3. Step 3: Cross multiply
    4,934.69x = 7,401.74 × 1,647.51
  4. Step 4: Simplify right side
    4,934.69x = 12,194,432.43
  5. Step 5: Solve for x
    x = 12,194,432.43/4,934.69
  6. Step 6: Final answer
    x = 2,471.16

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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.