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Finding the Fourth Proportional to 3,434.67, 5,152.10 and 969.75

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Solution

The fourth proportional to 3,434.67, 5,152.10 and 969.75 is: 1,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.67 : 5,152.10 = 969.75 : x
  2. Step 2: Convert to fraction form
    3,434.67/5,152.10 = 969.75/x
  3. Step 3: Cross multiply
    3,434.67x = 5,152.10 × 969.75
  4. Step 4: Simplify right side
    3,434.67x = 4,996,244.13
  5. Step 5: Solve for x
    x = 4,996,244.13/3,434.67
  6. Step 6: Final answer
    x = 1,454.65

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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.