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Finding the Fourth Proportional to 4,578.44, 6,862.96 and 1,804

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Solution

The fourth proportional to 4,578.44, 6,862.96 and 1,804 is: 2,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.44 : 6,862.96 = 1,804 : x
  2. Step 2: Convert to fraction form
    4,578.44/6,862.96 = 1,804/x
  3. Step 3: Cross multiply
    4,578.44x = 6,862.96 × 1,804
  4. Step 4: Simplify right side
    4,578.44x = 12,380,779.84
  5. Step 5: Solve for x
    x = 12,380,779.84/4,578.44
  6. Step 6: Final answer
    x = 2,704.15

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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.