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Finding the Fourth Proportional to 6,045.84, 8,343.52 and 3,806.86

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Solution

The fourth proportional to 6,045.84, 8,343.52 and 3,806.86 is: 5,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045.84 : 8,343.52 = 3,806.86 : x
  2. Step 2: Convert to fraction form
    6,045.84/8,343.52 = 3,806.86/x
  3. Step 3: Cross multiply
    6,045.84x = 8,343.52 × 3,806.86
  4. Step 4: Simplify right side
    6,045.84x = 31,762,612.55
  5. Step 5: Solve for x
    x = 31,762,612.55/6,045.84
  6. Step 6: Final answer
    x = 5,253.63

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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.