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Finding the Fourth Proportional to 4,883.76, 7,328.04 and 1,964.16

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Solution

The fourth proportional to 4,883.76, 7,328.04 and 1,964.16 is: 2,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.76 : 7,328.04 = 1,964.16 : x
  2. Step 2: Convert to fraction form
    4,883.76/7,328.04 = 1,964.16/x
  3. Step 3: Cross multiply
    4,883.76x = 7,328.04 × 1,964.16
  4. Step 4: Simplify right side
    4,883.76x = 14,393,443.05
  5. Step 5: Solve for x
    x = 14,393,443.05/4,883.76
  6. Step 6: Final answer
    x = 2,947.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.