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Finding the Fourth Proportional to 3,916.44, 5,404.71 and 2,148.05

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Solution

The fourth proportional to 3,916.44, 5,404.71 and 2,148.05 is: 2,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.44 : 5,404.71 = 2,148.05 : x
  2. Step 2: Convert to fraction form
    3,916.44/5,404.71 = 2,148.05/x
  3. Step 3: Cross multiply
    3,916.44x = 5,404.71 × 2,148.05
  4. Step 4: Simplify right side
    3,916.44x = 11,609,587.32
  5. Step 5: Solve for x
    x = 11,609,587.32/3,916.44
  6. Step 6: Final answer
    x = 2,964.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.