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Finding the Fourth Proportional to 4,424.81, 6,635.64 and 1,462.71

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Solution

The fourth proportional to 4,424.81, 6,635.64 and 1,462.71 is: 2,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,424.81 : 6,635.64 = 1,462.71 : x
  2. Step 2: Convert to fraction form
    4,424.81/6,635.64 = 1,462.71/x
  3. Step 3: Cross multiply
    4,424.81x = 6,635.64 × 1,462.71
  4. Step 4: Simplify right side
    4,424.81x = 9,706,009.67
  5. Step 5: Solve for x
    x = 9,706,009.67/4,424.81
  6. Step 6: Final answer
    x = 2,193.54

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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.