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Finding the Fourth Proportional to 5,214.88, 7,200.48 and 4,101.28

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Solution

The fourth proportional to 5,214.88, 7,200.48 and 4,101.28 is: 5,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.88 : 7,200.48 = 4,101.28 : x
  2. Step 2: Convert to fraction form
    5,214.88/7,200.48 = 4,101.28/x
  3. Step 3: Cross multiply
    5,214.88x = 7,200.48 × 4,101.28
  4. Step 4: Simplify right side
    5,214.88x = 29,531,184.61
  5. Step 5: Solve for x
    x = 29,531,184.61/5,214.88
  6. Step 6: Final answer
    x = 5,662.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.