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Finding the Fourth Proportional to 4,689.88, 6,475.38 and 2,923

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Solution

The fourth proportional to 4,689.88, 6,475.38 and 2,923 is: 4,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.88 : 6,475.38 = 2,923 : x
  2. Step 2: Convert to fraction form
    4,689.88/6,475.38 = 2,923/x
  3. Step 3: Cross multiply
    4,689.88x = 6,475.38 × 2,923
  4. Step 4: Simplify right side
    4,689.88x = 18,927,535.74
  5. Step 5: Solve for x
    x = 18,927,535.74/4,689.88
  6. Step 6: Final answer
    x = 4,035.83

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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.