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Finding the Fourth Proportional to 5,777.06, 8,665.25 and 1,616.98

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Solution

The fourth proportional to 5,777.06, 8,665.25 and 1,616.98 is: 2,425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.06 : 8,665.25 = 1,616.98 : x
  2. Step 2: Convert to fraction form
    5,777.06/8,665.25 = 1,616.98/x
  3. Step 3: Cross multiply
    5,777.06x = 8,665.25 × 1,616.98
  4. Step 4: Simplify right side
    5,777.06x = 14,011,518.32
  5. Step 5: Solve for x
    x = 14,011,518.32/5,777.06
  6. Step 6: Final answer
    x = 2,425.37

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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.