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Finding the Fourth Proportional to 3,567.61, 4,924.67 and 3,193.93

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Solution

The fourth proportional to 3,567.61, 4,924.67 and 3,193.93 is: 4,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.61 : 4,924.67 = 3,193.93 : x
  2. Step 2: Convert to fraction form
    3,567.61/4,924.67 = 3,193.93/x
  3. Step 3: Cross multiply
    3,567.61x = 4,924.67 × 3,193.93
  4. Step 4: Simplify right side
    3,567.61x = 15,729,051.25
  5. Step 5: Solve for x
    x = 15,729,051.25/3,567.61
  6. Step 6: Final answer
    x = 4,408.85

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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.