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Finding the Fourth Proportional to 5,478.33, 8,216.52 and 1,780.02

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Solution

The fourth proportional to 5,478.33, 8,216.52 and 1,780.02 is: 2,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.33 : 8,216.52 = 1,780.02 : x
  2. Step 2: Convert to fraction form
    5,478.33/8,216.52 = 1,780.02/x
  3. Step 3: Cross multiply
    5,478.33x = 8,216.52 × 1,780.02
  4. Step 4: Simplify right side
    5,478.33x = 14,625,569.93
  5. Step 5: Solve for x
    x = 14,625,569.93/5,478.33
  6. Step 6: Final answer
    x = 2,669.71

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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.