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Finding the Fourth Proportional to 3,264.16, 4,895.52 and 955.12

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Solution

The fourth proportional to 3,264.16, 4,895.52 and 955.12 is: 1,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.16 : 4,895.52 = 955.12 : x
  2. Step 2: Convert to fraction form
    3,264.16/4,895.52 = 955.12/x
  3. Step 3: Cross multiply
    3,264.16x = 4,895.52 × 955.12
  4. Step 4: Simplify right side
    3,264.16x = 4,675,809.06
  5. Step 5: Solve for x
    x = 4,675,809.06/3,264.16
  6. Step 6: Final answer
    x = 1,432.47

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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.