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Finding the Fourth Proportional to 4,641.54, 6,964.02 and 2,177.16

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Solution

The fourth proportional to 4,641.54, 6,964.02 and 2,177.16 is: 3,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.54 : 6,964.02 = 2,177.16 : x
  2. Step 2: Convert to fraction form
    4,641.54/6,964.02 = 2,177.16/x
  3. Step 3: Cross multiply
    4,641.54x = 6,964.02 × 2,177.16
  4. Step 4: Simplify right side
    4,641.54x = 15,161,785.78
  5. Step 5: Solve for x
    x = 15,161,785.78/4,641.54
  6. Step 6: Final answer
    x = 3,266.54

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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.