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Finding the Fourth Proportional to 4,777.41, 7,166.16 and 1,490.25

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Solution

The fourth proportional to 4,777.41, 7,166.16 and 1,490.25 is: 2,235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.41 : 7,166.16 = 1,490.25 : x
  2. Step 2: Convert to fraction form
    4,777.41/7,166.16 = 1,490.25/x
  3. Step 3: Cross multiply
    4,777.41x = 7,166.16 × 1,490.25
  4. Step 4: Simplify right side
    4,777.41x = 10,679,369.94
  5. Step 5: Solve for x
    x = 10,679,369.94/4,777.41
  6. Step 6: Final answer
    x = 2,235.39

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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.