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Finding the Fourth Proportional to 4,769.38, 7,154.13 and 1,482.40

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Solution

The fourth proportional to 4,769.38, 7,154.13 and 1,482.40 is: 2,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.38 : 7,154.13 = 1,482.40 : x
  2. Step 2: Convert to fraction form
    4,769.38/7,154.13 = 1,482.40/x
  3. Step 3: Cross multiply
    4,769.38x = 7,154.13 × 1,482.40
  4. Step 4: Simplify right side
    4,769.38x = 10,605,282.31
  5. Step 5: Solve for x
    x = 10,605,282.31/4,769.38
  6. Step 6: Final answer
    x = 2,223.62

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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.