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Finding the Fourth Proportional to 5,649.52, 7,794.82 and 3,411.36

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Solution

The fourth proportional to 5,649.52, 7,794.82 and 3,411.36 is: 4,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.52 : 7,794.82 = 3,411.36 : x
  2. Step 2: Convert to fraction form
    5,649.52/7,794.82 = 3,411.36/x
  3. Step 3: Cross multiply
    5,649.52x = 7,794.82 × 3,411.36
  4. Step 4: Simplify right side
    5,649.52x = 26,590,937.16
  5. Step 5: Solve for x
    x = 26,590,937.16/5,649.52
  6. Step 6: Final answer
    x = 4,706.76

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