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Finding the Fourth Proportional to 4,590.84, 6,886.76 and 1,469.73

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Solution

The fourth proportional to 4,590.84, 6,886.76 and 1,469.73 is: 2,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.84 : 6,886.76 = 1,469.73 : x
  2. Step 2: Convert to fraction form
    4,590.84/6,886.76 = 1,469.73/x
  3. Step 3: Cross multiply
    4,590.84x = 6,886.76 × 1,469.73
  4. Step 4: Simplify right side
    4,590.84x = 10,121,696.25
  5. Step 5: Solve for x
    x = 10,121,696.25/4,590.84
  6. Step 6: Final answer
    x = 2,204.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.