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Finding the Fourth Proportional to 4,777.65, 7,154.96 and 4,230.45

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Solution

The fourth proportional to 4,777.65, 7,154.96 and 4,230.45 is: 6,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.65 : 7,154.96 = 4,230.45 : x
  2. Step 2: Convert to fraction form
    4,777.65/7,154.96 = 4,230.45/x
  3. Step 3: Cross multiply
    4,777.65x = 7,154.96 × 4,230.45
  4. Step 4: Simplify right side
    4,777.65x = 30,268,679.38
  5. Step 5: Solve for x
    x = 30,268,679.38/4,777.65
  6. Step 6: Final answer
    x = 6,335.47

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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.