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Finding the Fourth Proportional to 5,931.84, 8,181.69 and 3,663.14

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Solution

The fourth proportional to 5,931.84, 8,181.69 and 3,663.14 is: 5,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.84 : 8,181.69 = 3,663.14 : x
  2. Step 2: Convert to fraction form
    5,931.84/8,181.69 = 3,663.14/x
  3. Step 3: Cross multiply
    5,931.84x = 8,181.69 × 3,663.14
  4. Step 4: Simplify right side
    5,931.84x = 29,970,641.87
  5. Step 5: Solve for x
    x = 29,970,641.87/5,931.84
  6. Step 6: Final answer
    x = 5,052.50

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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.