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Finding the Fourth Proportional to 4,677, 6,454.62 and 2,688.18

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Solution

The fourth proportional to 4,677, 6,454.62 and 2,688.18 is: 3,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677 : 6,454.62 = 2,688.18 : x
  2. Step 2: Convert to fraction form
    4,677/6,454.62 = 2,688.18/x
  3. Step 3: Cross multiply
    4,677x = 6,454.62 × 2,688.18
  4. Step 4: Simplify right side
    4,677x = 17,351,180.39
  5. Step 5: Solve for x
    x = 17,351,180.39/4,677
  6. Step 6: Final answer
    x = 3,709.90

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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.