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Finding the Fourth Proportional to 5,827.41, 8,696.32 and 5,204.61

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Solution

The fourth proportional to 5,827.41, 8,696.32 and 5,204.61 is: 7,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.41 : 8,696.32 = 5,204.61 : x
  2. Step 2: Convert to fraction form
    5,827.41/8,696.32 = 5,204.61/x
  3. Step 3: Cross multiply
    5,827.41x = 8,696.32 × 5,204.61
  4. Step 4: Simplify right side
    5,827.41x = 45,260,954.04
  5. Step 5: Solve for x
    x = 45,260,954.04/5,827.41
  6. Step 6: Final answer
    x = 7,766.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.