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Finding the Fourth Proportional to 3,264.06, 4,895.28 and 1,532.28

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Solution

The fourth proportional to 3,264.06, 4,895.28 and 1,532.28 is: 2,298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.06 : 4,895.28 = 1,532.28 : x
  2. Step 2: Convert to fraction form
    3,264.06/4,895.28 = 1,532.28/x
  3. Step 3: Cross multiply
    3,264.06x = 4,895.28 × 1,532.28
  4. Step 4: Simplify right side
    3,264.06x = 7,500,939.64
  5. Step 5: Solve for x
    x = 7,500,939.64/3,264.06
  6. Step 6: Final answer
    x = 2,298.04

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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.