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Finding the Fourth Proportional to 5,933.66, 8,187.35 and 3,415.86

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Solution

The fourth proportional to 5,933.66, 8,187.35 and 3,415.86 is: 4,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.66 : 8,187.35 = 3,415.86 : x
  2. Step 2: Convert to fraction form
    5,933.66/8,187.35 = 3,415.86/x
  3. Step 3: Cross multiply
    5,933.66x = 8,187.35 × 3,415.86
  4. Step 4: Simplify right side
    5,933.66x = 27,966,824.29
  5. Step 5: Solve for x
    x = 27,966,824.29/5,933.66
  6. Step 6: Final answer
    x = 4,713.25

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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.