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Finding the Fourth Proportional to 3,658.86, 5,043.32 and 2,860.77

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Solution

The fourth proportional to 3,658.86, 5,043.32 and 2,860.77 is: 3,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.86 : 5,043.32 = 2,860.77 : x
  2. Step 2: Convert to fraction form
    3,658.86/5,043.32 = 2,860.77/x
  3. Step 3: Cross multiply
    3,658.86x = 5,043.32 × 2,860.77
  4. Step 4: Simplify right side
    3,658.86x = 14,427,764.25
  5. Step 5: Solve for x
    x = 14,427,764.25/3,658.86
  6. Step 6: Final answer
    x = 3,943.24

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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.