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Finding the Fourth Proportional to 4,188.61, 5,773.66 and 3,346.66

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Solution

The fourth proportional to 4,188.61, 5,773.66 and 3,346.66 is: 4,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.61 : 5,773.66 = 3,346.66 : x
  2. Step 2: Convert to fraction form
    4,188.61/5,773.66 = 3,346.66/x
  3. Step 3: Cross multiply
    4,188.61x = 5,773.66 × 3,346.66
  4. Step 4: Simplify right side
    4,188.61x = 19,322,476.98
  5. Step 5: Solve for x
    x = 19,322,476.98/4,188.61
  6. Step 6: Final answer
    x = 4,613.10

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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.