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Finding the Fourth Proportional to 4,924.68, 7,388.45 and 1,639.94

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Solution

The fourth proportional to 4,924.68, 7,388.45 and 1,639.94 is: 2,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.68 : 7,388.45 = 1,639.94 : x
  2. Step 2: Convert to fraction form
    4,924.68/7,388.45 = 1,639.94/x
  3. Step 3: Cross multiply
    4,924.68x = 7,388.45 × 1,639.94
  4. Step 4: Simplify right side
    4,924.68x = 12,116,569.55
  5. Step 5: Solve for x
    x = 12,116,569.55/4,924.68
  6. Step 6: Final answer
    x = 2,460.38

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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.