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Finding the Fourth Proportional to 5,310.32, 7,977 and 4,490.24

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Solution

The fourth proportional to 5,310.32, 7,977 and 4,490.24 is: 6,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.32 : 7,977 = 4,490.24 : x
  2. Step 2: Convert to fraction form
    5,310.32/7,977 = 4,490.24/x
  3. Step 3: Cross multiply
    5,310.32x = 7,977 × 4,490.24
  4. Step 4: Simplify right side
    5,310.32x = 35,818,644.48
  5. Step 5: Solve for x
    x = 35,818,644.48/5,310.32
  6. Step 6: Final answer
    x = 6,745.10

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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.