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Finding the Fourth Proportional to 3,530.40, 4,872.25 and 1,959

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Solution

The fourth proportional to 3,530.40, 4,872.25 and 1,959 is: 2,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.40 : 4,872.25 = 1,959 : x
  2. Step 2: Convert to fraction form
    3,530.40/4,872.25 = 1,959/x
  3. Step 3: Cross multiply
    3,530.40x = 4,872.25 × 1,959
  4. Step 4: Simplify right side
    3,530.40x = 9,544,737.75
  5. Step 5: Solve for x
    x = 9,544,737.75/3,530.40
  6. Step 6: Final answer
    x = 2,703.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.