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Finding the Fourth Proportional to 5,758.56, 7,895.88 and 5,196.96

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Solution

The fourth proportional to 5,758.56, 7,895.88 and 5,196.96 is: 7,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.56 : 7,895.88 = 5,196.96 : x
  2. Step 2: Convert to fraction form
    5,758.56/7,895.88 = 5,196.96/x
  3. Step 3: Cross multiply
    5,758.56x = 7,895.88 × 5,196.96
  4. Step 4: Simplify right side
    5,758.56x = 41,034,572.52
  5. Step 5: Solve for x
    x = 41,034,572.52/5,758.56
  6. Step 6: Final answer
    x = 7,125.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.