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Finding the Fourth Proportional to 5,823.67, 8,031.08 and 3,913.81

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Solution

The fourth proportional to 5,823.67, 8,031.08 and 3,913.81 is: 5,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.67 : 8,031.08 = 3,913.81 : x
  2. Step 2: Convert to fraction form
    5,823.67/8,031.08 = 3,913.81/x
  3. Step 3: Cross multiply
    5,823.67x = 8,031.08 × 3,913.81
  4. Step 4: Simplify right side
    5,823.67x = 31,432,121.21
  5. Step 5: Solve for x
    x = 31,432,121.21/5,823.67
  6. Step 6: Final answer
    x = 5,397.30

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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.