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Finding the Fourth Proportional to 3,497.86, 5,267.64 and 3,155.14

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Solution

The fourth proportional to 3,497.86, 5,267.64 and 3,155.14 is: 4,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.86 : 5,267.64 = 3,155.14 : x
  2. Step 2: Convert to fraction form
    3,497.86/5,267.64 = 3,155.14/x
  3. Step 3: Cross multiply
    3,497.86x = 5,267.64 × 3,155.14
  4. Step 4: Simplify right side
    3,497.86x = 16,620,125.89
  5. Step 5: Solve for x
    x = 16,620,125.89/3,497.86
  6. Step 6: Final answer
    x = 4,751.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.