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Finding the Fourth Proportional to 4,578.32, 6,869.78 and 1,806.98

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Solution

The fourth proportional to 4,578.32, 6,869.78 and 1,806.98 is: 2,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.32 : 6,869.78 = 1,806.98 : x
  2. Step 2: Convert to fraction form
    4,578.32/6,869.78 = 1,806.98/x
  3. Step 3: Cross multiply
    4,578.32x = 6,869.78 × 1,806.98
  4. Step 4: Simplify right side
    4,578.32x = 12,413,555.06
  5. Step 5: Solve for x
    x = 12,413,555.06/4,578.32
  6. Step 6: Final answer
    x = 2,711.38

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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.