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Finding the Fourth Proportional to 4,949.86, 7,425.29 and 1,830.68

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Solution

The fourth proportional to 4,949.86, 7,425.29 and 1,830.68 is: 2,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.86 : 7,425.29 = 1,830.68 : x
  2. Step 2: Convert to fraction form
    4,949.86/7,425.29 = 1,830.68/x
  3. Step 3: Cross multiply
    4,949.86x = 7,425.29 × 1,830.68
  4. Step 4: Simplify right side
    4,949.86x = 13,593,329.90
  5. Step 5: Solve for x
    x = 13,593,329.90/4,949.86
  6. Step 6: Final answer
    x = 2,746.20

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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.