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Finding the Fourth Proportional to 4,748.88, 6,553.62 and 4,158.36

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Solution

The fourth proportional to 4,748.88, 6,553.62 and 4,158.36 is: 5,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.88 : 6,553.62 = 4,158.36 : x
  2. Step 2: Convert to fraction form
    4,748.88/6,553.62 = 4,158.36/x
  3. Step 3: Cross multiply
    4,748.88x = 6,553.62 × 4,158.36
  4. Step 4: Simplify right side
    4,748.88x = 27,252,311.26
  5. Step 5: Solve for x
    x = 27,252,311.26/4,748.88
  6. Step 6: Final answer
    x = 5,738.68

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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.