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Finding the Fourth Proportional to 5,696.84, 8,545.52 and 1,747.82

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Solution

The fourth proportional to 5,696.84, 8,545.52 and 1,747.82 is: 2,621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.84 : 8,545.52 = 1,747.82 : x
  2. Step 2: Convert to fraction form
    5,696.84/8,545.52 = 1,747.82/x
  3. Step 3: Cross multiply
    5,696.84x = 8,545.52 × 1,747.82
  4. Step 4: Simplify right side
    5,696.84x = 14,935,992.41
  5. Step 5: Solve for x
    x = 14,935,992.41/5,696.84
  6. Step 6: Final answer
    x = 2,621.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.