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Finding the Fourth Proportional to 5,931.48, 8,185.02 and 3,278.40

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Solution

The fourth proportional to 5,931.48, 8,185.02 and 3,278.40 is: 4,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.48 : 8,185.02 = 3,278.40 : x
  2. Step 2: Convert to fraction form
    5,931.48/8,185.02 = 3,278.40/x
  3. Step 3: Cross multiply
    5,931.48x = 8,185.02 × 3,278.40
  4. Step 4: Simplify right side
    5,931.48x = 26,833,769.57
  5. Step 5: Solve for x
    x = 26,833,769.57/5,931.48
  6. Step 6: Final answer
    x = 4,523.96

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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.