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Finding the Fourth Proportional to 4,957.32, 7,433.82 and 1,493.76

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Solution

The fourth proportional to 4,957.32, 7,433.82 and 1,493.76 is: 2,239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.32 : 7,433.82 = 1,493.76 : x
  2. Step 2: Convert to fraction form
    4,957.32/7,433.82 = 1,493.76/x
  3. Step 3: Cross multiply
    4,957.32x = 7,433.82 × 1,493.76
  4. Step 4: Simplify right side
    4,957.32x = 11,104,342.96
  5. Step 5: Solve for x
    x = 11,104,342.96/4,957.32
  6. Step 6: Final answer
    x = 2,239.99

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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.