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Finding the Fourth Proportional to 3,916.44, 5,874.66 and 1,319.40

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Solution

The fourth proportional to 3,916.44, 5,874.66 and 1,319.40 is: 1,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.44 : 5,874.66 = 1,319.40 : x
  2. Step 2: Convert to fraction form
    3,916.44/5,874.66 = 1,319.40/x
  3. Step 3: Cross multiply
    3,916.44x = 5,874.66 × 1,319.40
  4. Step 4: Simplify right side
    3,916.44x = 7,751,026.40
  5. Step 5: Solve for x
    x = 7,751,026.40/3,916.44
  6. Step 6: Final answer
    x = 1,979.10

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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.