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Finding the Fourth Proportional to 4,774.65, 7,132.82 and 3,801.84

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Solution

The fourth proportional to 4,774.65, 7,132.82 and 3,801.84 is: 5,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.65 : 7,132.82 = 3,801.84 : x
  2. Step 2: Convert to fraction form
    4,774.65/7,132.82 = 3,801.84/x
  3. Step 3: Cross multiply
    4,774.65x = 7,132.82 × 3,801.84
  4. Step 4: Simplify right side
    4,774.65x = 27,117,821.38
  5. Step 5: Solve for x
    x = 27,117,821.38/4,774.65
  6. Step 6: Final answer
    x = 5,679.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.