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Finding the Fourth Proportional to 5,392.63, 7,393.30 and 5,294.22

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Solution

The fourth proportional to 5,392.63, 7,393.30 and 5,294.22 is: 7,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.63 : 7,393.30 = 5,294.22 : x
  2. Step 2: Convert to fraction form
    5,392.63/7,393.30 = 5,294.22/x
  3. Step 3: Cross multiply
    5,392.63x = 7,393.30 × 5,294.22
  4. Step 4: Simplify right side
    5,392.63x = 39,141,756.73
  5. Step 5: Solve for x
    x = 39,141,756.73/5,392.63
  6. Step 6: Final answer
    x = 7,258.38

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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.