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Finding the Fourth Proportional to 5,237.80, 7,795.67 and 5,221.60

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Solution

The fourth proportional to 5,237.80, 7,795.67 and 5,221.60 is: 7,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.80 : 7,795.67 = 5,221.60 : x
  2. Step 2: Convert to fraction form
    5,237.80/7,795.67 = 5,221.60/x
  3. Step 3: Cross multiply
    5,237.80x = 7,795.67 × 5,221.60
  4. Step 4: Simplify right side
    5,237.80x = 40,705,870.47
  5. Step 5: Solve for x
    x = 40,705,870.47/5,237.80
  6. Step 6: Final answer
    x = 7,771.56

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