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Finding the Fourth Proportional to 5,667.53, 8,483.78 and 5,584.50

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Solution

The fourth proportional to 5,667.53, 8,483.78 and 5,584.50 is: 8,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.53 : 8,483.78 = 5,584.50 : x
  2. Step 2: Convert to fraction form
    5,667.53/8,483.78 = 5,584.50/x
  3. Step 3: Cross multiply
    5,667.53x = 8,483.78 × 5,584.50
  4. Step 4: Simplify right side
    5,667.53x = 47,377,641.49
  5. Step 5: Solve for x
    x = 47,377,641.49/5,667.53
  6. Step 6: Final answer
    x = 8,359.49

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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.