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Finding the Fourth Proportional to 5,496.90, 8,235.90 and 2,569.20

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Solution

The fourth proportional to 5,496.90, 8,235.90 and 2,569.20 is: 3,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.90 : 8,235.90 = 2,569.20 : x
  2. Step 2: Convert to fraction form
    5,496.90/8,235.90 = 2,569.20/x
  3. Step 3: Cross multiply
    5,496.90x = 8,235.90 × 2,569.20
  4. Step 4: Simplify right side
    5,496.90x = 21,159,674.28
  5. Step 5: Solve for x
    x = 21,159,674.28/5,496.90
  6. Step 6: Final answer
    x = 3,849.38

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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.