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Finding the Fourth Proportional to 2,916.96, 4,372.56 and 2,398.56

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Solution

The fourth proportional to 2,916.96, 4,372.56 and 2,398.56 is: 3,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.96 : 4,372.56 = 2,398.56 : x
  2. Step 2: Convert to fraction form
    2,916.96/4,372.56 = 2,398.56/x
  3. Step 3: Cross multiply
    2,916.96x = 4,372.56 × 2,398.56
  4. Step 4: Simplify right side
    2,916.96x = 10,487,847.51
  5. Step 5: Solve for x
    x = 10,487,847.51/2,916.96
  6. Step 6: Final answer
    x = 3,595.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.