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Finding the Fourth Proportional to 4,816.78, 6,649.50 and 3,737.63

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Solution

The fourth proportional to 4,816.78, 6,649.50 and 3,737.63 is: 5,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.78 : 6,649.50 = 3,737.63 : x
  2. Step 2: Convert to fraction form
    4,816.78/6,649.50 = 3,737.63/x
  3. Step 3: Cross multiply
    4,816.78x = 6,649.50 × 3,737.63
  4. Step 4: Simplify right side
    4,816.78x = 24,853,401.32
  5. Step 5: Solve for x
    x = 24,853,401.32/4,816.78
  6. Step 6: Final answer
    x = 5,159.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.