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Finding the Fourth Proportional to 5,154.96, 7,113.68 and 2,916.96

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Solution

The fourth proportional to 5,154.96, 7,113.68 and 2,916.96 is: 4,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.96 : 7,113.68 = 2,916.96 : x
  2. Step 2: Convert to fraction form
    5,154.96/7,113.68 = 2,916.96/x
  3. Step 3: Cross multiply
    5,154.96x = 7,113.68 × 2,916.96
  4. Step 4: Simplify right side
    5,154.96x = 20,750,320.01
  5. Step 5: Solve for x
    x = 20,750,320.01/5,154.96
  6. Step 6: Final answer
    x = 4,025.31

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Why These Related Problems?

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