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Finding the Fourth Proportional to 3,295.89, 4,943.46 and 956.10

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Solution

The fourth proportional to 3,295.89, 4,943.46 and 956.10 is: 1,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.89 : 4,943.46 = 956.10 : x
  2. Step 2: Convert to fraction form
    3,295.89/4,943.46 = 956.10/x
  3. Step 3: Cross multiply
    3,295.89x = 4,943.46 × 956.10
  4. Step 4: Simplify right side
    3,295.89x = 4,726,442.11
  5. Step 5: Solve for x
    x = 4,726,442.11/3,295.89
  6. Step 6: Final answer
    x = 1,434.04

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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.