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Finding the Fourth Proportional to 4,769.74, 7,152.34 and 1,482.88

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Solution

The fourth proportional to 4,769.74, 7,152.34 and 1,482.88 is: 2,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.74 : 7,152.34 = 1,482.88 : x
  2. Step 2: Convert to fraction form
    4,769.74/7,152.34 = 1,482.88/x
  3. Step 3: Cross multiply
    4,769.74x = 7,152.34 × 1,482.88
  4. Step 4: Simplify right side
    4,769.74x = 10,606,061.94
  5. Step 5: Solve for x
    x = 10,606,061.94/4,769.74
  6. Step 6: Final answer
    x = 2,223.61

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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.