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Finding the Fourth Proportional to 5,932.46, 8,186.76 and 3,807.32

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Solution

The fourth proportional to 5,932.46, 8,186.76 and 3,807.32 is: 5,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.46 : 8,186.76 = 3,807.32 : x
  2. Step 2: Convert to fraction form
    5,932.46/8,186.76 = 3,807.32/x
  3. Step 3: Cross multiply
    5,932.46x = 8,186.76 × 3,807.32
  4. Step 4: Simplify right side
    5,932.46x = 31,169,574.15
  5. Step 5: Solve for x
    x = 31,169,574.15/5,932.46
  6. Step 6: Final answer
    x = 5,254.08

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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.