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Finding the Fourth Proportional to 3,434.95, 5,152.53 and 969.51

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Solution

The fourth proportional to 3,434.95, 5,152.53 and 969.51 is: 1,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.95 : 5,152.53 = 969.51 : x
  2. Step 2: Convert to fraction form
    3,434.95/5,152.53 = 969.51/x
  3. Step 3: Cross multiply
    3,434.95x = 5,152.53 × 969.51
  4. Step 4: Simplify right side
    3,434.95x = 4,995,446.86
  5. Step 5: Solve for x
    x = 4,995,446.86/3,434.95
  6. Step 6: Final answer
    x = 1,454.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.