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Finding the Fourth Proportional to 3,531.58, 5,293.49 and 1,773.77

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Solution

The fourth proportional to 3,531.58, 5,293.49 and 1,773.77 is: 2,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.58 : 5,293.49 = 1,773.77 : x
  2. Step 2: Convert to fraction form
    3,531.58/5,293.49 = 1,773.77/x
  3. Step 3: Cross multiply
    3,531.58x = 5,293.49 × 1,773.77
  4. Step 4: Simplify right side
    3,531.58x = 9,389,398.42
  5. Step 5: Solve for x
    x = 9,389,398.42/3,531.58
  6. Step 6: Final answer
    x = 2,658.70

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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.