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Finding the Fourth Proportional to 5,424.70, 8,137.05 and 4,606.60

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Solution

The fourth proportional to 5,424.70, 8,137.05 and 4,606.60 is: 6,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.70 : 8,137.05 = 4,606.60 : x
  2. Step 2: Convert to fraction form
    5,424.70/8,137.05 = 4,606.60/x
  3. Step 3: Cross multiply
    5,424.70x = 8,137.05 × 4,606.60
  4. Step 4: Simplify right side
    5,424.70x = 37,484,134.53
  5. Step 5: Solve for x
    x = 37,484,134.53/5,424.70
  6. Step 6: Final answer
    x = 6,909.90

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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.