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Finding the Fourth Proportional to 5,264.46, 7,892.53 and 1,977.19

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Solution

The fourth proportional to 5,264.46, 7,892.53 and 1,977.19 is: 2,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.46 : 7,892.53 = 1,977.19 : x
  2. Step 2: Convert to fraction form
    5,264.46/7,892.53 = 1,977.19/x
  3. Step 3: Cross multiply
    5,264.46x = 7,892.53 × 1,977.19
  4. Step 4: Simplify right side
    5,264.46x = 15,605,006.72
  5. Step 5: Solve for x
    x = 15,605,006.72/5,264.46
  6. Step 6: Final answer
    x = 2,964.22

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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.