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Finding the Fourth Proportional to 4,894.54, 6,751.68 and 3,098.74

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Solution

The fourth proportional to 4,894.54, 6,751.68 and 3,098.74 is: 4,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.54 : 6,751.68 = 3,098.74 : x
  2. Step 2: Convert to fraction form
    4,894.54/6,751.68 = 3,098.74/x
  3. Step 3: Cross multiply
    4,894.54x = 6,751.68 × 3,098.74
  4. Step 4: Simplify right side
    4,894.54x = 20,921,700.88
  5. Step 5: Solve for x
    x = 20,921,700.88/4,894.54
  6. Step 6: Final answer
    x = 4,274.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.