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Finding the Fourth Proportional to 5,696.87, 8,525.86 and 4,773.47

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Solution

The fourth proportional to 5,696.87, 8,525.86 and 4,773.47 is: 7,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.87 : 8,525.86 = 4,773.47 : x
  2. Step 2: Convert to fraction form
    5,696.87/8,525.86 = 4,773.47/x
  3. Step 3: Cross multiply
    5,696.87x = 8,525.86 × 4,773.47
  4. Step 4: Simplify right side
    5,696.87x = 40,697,882.37
  5. Step 5: Solve for x
    x = 40,697,882.37/5,696.87
  6. Step 6: Final answer
    x = 7,143.91

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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.