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Finding the Fourth Proportional to 3,256.22, 4,883.78 and 916.38

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Solution

The fourth proportional to 3,256.22, 4,883.78 and 916.38 is: 1,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.22 : 4,883.78 = 916.38 : x
  2. Step 2: Convert to fraction form
    3,256.22/4,883.78 = 916.38/x
  3. Step 3: Cross multiply
    3,256.22x = 4,883.78 × 916.38
  4. Step 4: Simplify right side
    3,256.22x = 4,475,398.32
  5. Step 5: Solve for x
    x = 4,475,398.32/3,256.22
  6. Step 6: Final answer
    x = 1,374.42

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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.