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Finding the Fourth Proportional to 6,476, 8,935.44 and 3,823.52

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Solution

The fourth proportional to 6,476, 8,935.44 and 3,823.52 is: 5,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476 : 8,935.44 = 3,823.52 : x
  2. Step 2: Convert to fraction form
    6,476/8,935.44 = 3,823.52/x
  3. Step 3: Cross multiply
    6,476x = 8,935.44 × 3,823.52
  4. Step 4: Simplify right side
    6,476x = 34,164,833.55
  5. Step 5: Solve for x
    x = 34,164,833.55/6,476
  6. Step 6: Final answer
    x = 5,275.61

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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.