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Finding the Fourth Proportional to 4,769.56, 7,154.40 and 1,482.64

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Solution

The fourth proportional to 4,769.56, 7,154.40 and 1,482.64 is: 2,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.56 : 7,154.40 = 1,482.64 : x
  2. Step 2: Convert to fraction form
    4,769.56/7,154.40 = 1,482.64/x
  3. Step 3: Cross multiply
    4,769.56x = 7,154.40 × 1,482.64
  4. Step 4: Simplify right side
    4,769.56x = 10,607,399.62
  5. Step 5: Solve for x
    x = 10,607,399.62/4,769.56
  6. Step 6: Final answer
    x = 2,223.98

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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.