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Finding the Fourth Proportional to 5,636.52, 7,773.68 and 4,223.53

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Solution

The fourth proportional to 5,636.52, 7,773.68 and 4,223.53 is: 5,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.52 : 7,773.68 = 4,223.53 : x
  2. Step 2: Convert to fraction form
    5,636.52/7,773.68 = 4,223.53/x
  3. Step 3: Cross multiply
    5,636.52x = 7,773.68 × 4,223.53
  4. Step 4: Simplify right side
    5,636.52x = 32,832,370.69
  5. Step 5: Solve for x
    x = 32,832,370.69/5,636.52
  6. Step 6: Final answer
    x = 5,824.94

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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.