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Finding the Fourth Proportional to 5,411.48, 8,078.06 and 4,755.38

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Solution

The fourth proportional to 5,411.48, 8,078.06 and 4,755.38 is: 7,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.48 : 8,078.06 = 4,755.38 : x
  2. Step 2: Convert to fraction form
    5,411.48/8,078.06 = 4,755.38/x
  3. Step 3: Cross multiply
    5,411.48x = 8,078.06 × 4,755.38
  4. Step 4: Simplify right side
    5,411.48x = 38,414,216.46
  5. Step 5: Solve for x
    x = 38,414,216.46/5,411.48
  6. Step 6: Final answer
    x = 7,098.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.