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Finding the Fourth Proportional to 5,696.37, 8,543.57 and 2,575.65

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Solution

The fourth proportional to 5,696.37, 8,543.57 and 2,575.65 is: 3,863.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.37 : 8,543.57 = 2,575.65 : x
  2. Step 2: Convert to fraction form
    5,696.37/8,543.57 = 2,575.65/x
  3. Step 3: Cross multiply
    5,696.37x = 8,543.57 × 2,575.65
  4. Step 4: Simplify right side
    5,696.37x = 22,005,252.51
  5. Step 5: Solve for x
    x = 22,005,252.51/5,696.37
  6. Step 6: Final answer
    x = 3,863.03

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