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Finding the Fourth Proportional to 3,565.31, 5,347.94 and 1,922.63

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Solution

The fourth proportional to 3,565.31, 5,347.94 and 1,922.63 is: 2,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.31 : 5,347.94 = 1,922.63 : x
  2. Step 2: Convert to fraction form
    3,565.31/5,347.94 = 1,922.63/x
  3. Step 3: Cross multiply
    3,565.31x = 5,347.94 × 1,922.63
  4. Step 4: Simplify right side
    3,565.31x = 10,282,073.53
  5. Step 5: Solve for x
    x = 10,282,073.53/3,565.31
  6. Step 6: Final answer
    x = 2,883.93

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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.