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Finding the Fourth Proportional to 5,932.34, 8,186.62 and 3,574.93

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Solution

The fourth proportional to 5,932.34, 8,186.62 and 3,574.93 is: 4,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.34 : 8,186.62 = 3,574.93 : x
  2. Step 2: Convert to fraction form
    5,932.34/8,186.62 = 3,574.93/x
  3. Step 3: Cross multiply
    5,932.34x = 8,186.62 × 3,574.93
  4. Step 4: Simplify right side
    5,932.34x = 29,266,593.44
  5. Step 5: Solve for x
    x = 29,266,593.44/5,932.34
  6. Step 6: Final answer
    x = 4,933.40

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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.