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Finding the Fourth Proportional to 5,478.68, 8,216.29 and 1,780.14

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Solution

The fourth proportional to 5,478.68, 8,216.29 and 1,780.14 is: 2,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.68 : 8,216.29 = 1,780.14 : x
  2. Step 2: Convert to fraction form
    5,478.68/8,216.29 = 1,780.14/x
  3. Step 3: Cross multiply
    5,478.68x = 8,216.29 × 1,780.14
  4. Step 4: Simplify right side
    5,478.68x = 14,626,146.48
  5. Step 5: Solve for x
    x = 14,626,146.48/5,478.68
  6. Step 6: Final answer
    x = 2,669.65

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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.