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Finding the Fourth Proportional to 5,541.89, 7,594.90 and 5,354.78

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Solution

The fourth proportional to 5,541.89, 7,594.90 and 5,354.78 is: 7,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.89 : 7,594.90 = 5,354.78 : x
  2. Step 2: Convert to fraction form
    5,541.89/7,594.90 = 5,354.78/x
  3. Step 3: Cross multiply
    5,541.89x = 7,594.90 × 5,354.78
  4. Step 4: Simplify right side
    5,541.89x = 40,668,967.26
  5. Step 5: Solve for x
    x = 40,668,967.26/5,541.89
  6. Step 6: Final answer
    x = 7,338.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.