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Finding the Fourth Proportional to 4,223.52, 5,822.89 and 3,464.52

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Solution

The fourth proportional to 4,223.52, 5,822.89 and 3,464.52 is: 4,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.52 : 5,822.89 = 3,464.52 : x
  2. Step 2: Convert to fraction form
    4,223.52/5,822.89 = 3,464.52/x
  3. Step 3: Cross multiply
    4,223.52x = 5,822.89 × 3,464.52
  4. Step 4: Simplify right side
    4,223.52x = 20,173,484.27
  5. Step 5: Solve for x
    x = 20,173,484.27/4,223.52
  6. Step 6: Final answer
    x = 4,776.47

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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.