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Finding the Fourth Proportional to 5,699.37, 8,529.60 and 4,775.97

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Solution

The fourth proportional to 5,699.37, 8,529.60 and 4,775.97 is: 7,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.37 : 8,529.60 = 4,775.97 : x
  2. Step 2: Convert to fraction form
    5,699.37/8,529.60 = 4,775.97/x
  3. Step 3: Cross multiply
    5,699.37x = 8,529.60 × 4,775.97
  4. Step 4: Simplify right side
    5,699.37x = 40,737,113.71
  5. Step 5: Solve for x
    x = 40,737,113.71/5,699.37
  6. Step 6: Final answer
    x = 7,147.65

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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.