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Finding the Fourth Proportional to 5,214.97, 7,803.82 and 4,529.71

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Solution

The fourth proportional to 5,214.97, 7,803.82 and 4,529.71 is: 6,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.97 : 7,803.82 = 4,529.71 : x
  2. Step 2: Convert to fraction form
    5,214.97/7,803.82 = 4,529.71/x
  3. Step 3: Cross multiply
    5,214.97x = 7,803.82 × 4,529.71
  4. Step 4: Simplify right side
    5,214.97x = 35,349,041.49
  5. Step 5: Solve for x
    x = 35,349,041.49/5,214.97
  6. Step 6: Final answer
    x = 6,778.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.