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Finding the Fourth Proportional to 3,530.94, 4,872.84 and 1,959

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Solution

The fourth proportional to 3,530.94, 4,872.84 and 1,959 is: 2,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.94 : 4,872.84 = 1,959 : x
  2. Step 2: Convert to fraction form
    3,530.94/4,872.84 = 1,959/x
  3. Step 3: Cross multiply
    3,530.94x = 4,872.84 × 1,959
  4. Step 4: Simplify right side
    3,530.94x = 9,545,893.56
  5. Step 5: Solve for x
    x = 9,545,893.56/3,530.94
  6. Step 6: Final answer
    x = 2,703.50

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Why These Related Problems?

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