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Finding the Fourth Proportional to 5,498.69, 7,578.01 and 3,905.40

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Solution

The fourth proportional to 5,498.69, 7,578.01 and 3,905.40 is: 5,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.69 : 7,578.01 = 3,905.40 : x
  2. Step 2: Convert to fraction form
    5,498.69/7,578.01 = 3,905.40/x
  3. Step 3: Cross multiply
    5,498.69x = 7,578.01 × 3,905.40
  4. Step 4: Simplify right side
    5,498.69x = 29,595,193.55
  5. Step 5: Solve for x
    x = 29,595,193.55/5,498.69
  6. Step 6: Final answer
    x = 5,382.23

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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.