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Finding the Fourth Proportional to 5,274.68, 7,278.42 and 2,916.86

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Solution

The fourth proportional to 5,274.68, 7,278.42 and 2,916.86 is: 4,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.68 : 7,278.42 = 2,916.86 : x
  2. Step 2: Convert to fraction form
    5,274.68/7,278.42 = 2,916.86/x
  3. Step 3: Cross multiply
    5,274.68x = 7,278.42 × 2,916.86
  4. Step 4: Simplify right side
    5,274.68x = 21,230,132.16
  5. Step 5: Solve for x
    x = 21,230,132.16/5,274.68
  6. Step 6: Final answer
    x = 4,024.91

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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.