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Finding the Fourth Proportional to 5,490.60, 8,252.10 and 4,777.80

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Solution

The fourth proportional to 5,490.60, 8,252.10 and 4,777.80 is: 7,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.60 : 8,252.10 = 4,777.80 : x
  2. Step 2: Convert to fraction form
    5,490.60/8,252.10 = 4,777.80/x
  3. Step 3: Cross multiply
    5,490.60x = 8,252.10 × 4,777.80
  4. Step 4: Simplify right side
    5,490.60x = 39,426,883.38
  5. Step 5: Solve for x
    x = 39,426,883.38/5,490.60
  6. Step 6: Final answer
    x = 7,180.80

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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.