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Finding the Fourth Proportional to 4,867.65, 7,294.58 and 3,766.89

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Solution

The fourth proportional to 4,867.65, 7,294.58 and 3,766.89 is: 5,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.65 : 7,294.58 = 3,766.89 : x
  2. Step 2: Convert to fraction form
    4,867.65/7,294.58 = 3,766.89/x
  3. Step 3: Cross multiply
    4,867.65x = 7,294.58 × 3,766.89
  4. Step 4: Simplify right side
    4,867.65x = 27,477,861.62
  5. Step 5: Solve for x
    x = 27,477,861.62/4,867.65
  6. Step 6: Final answer
    x = 5,645.00

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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.