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Finding the Fourth Proportional to 4,778.64, 7,165.22 and 1,853.53

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Solution

The fourth proportional to 4,778.64, 7,165.22 and 1,853.53 is: 2,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.64 : 7,165.22 = 1,853.53 : x
  2. Step 2: Convert to fraction form
    4,778.64/7,165.22 = 1,853.53/x
  3. Step 3: Cross multiply
    4,778.64x = 7,165.22 × 1,853.53
  4. Step 4: Simplify right side
    4,778.64x = 13,280,936.95
  5. Step 5: Solve for x
    x = 13,280,936.95/4,778.64
  6. Step 6: Final answer
    x = 2,779.23

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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.