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Finding the Fourth Proportional to 4,323.86, 6,480.40 and 1,855.82

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Solution

The fourth proportional to 4,323.86, 6,480.40 and 1,855.82 is: 2,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.86 : 6,480.40 = 1,855.82 : x
  2. Step 2: Convert to fraction form
    4,323.86/6,480.40 = 1,855.82/x
  3. Step 3: Cross multiply
    4,323.86x = 6,480.40 × 1,855.82
  4. Step 4: Simplify right side
    4,323.86x = 12,026,455.93
  5. Step 5: Solve for x
    x = 12,026,455.93/4,323.86
  6. Step 6: Final answer
    x = 2,781.42

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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.