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Finding the Fourth Proportional to 4,970.62, 7,456.25 and 1,639.09

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Solution

The fourth proportional to 4,970.62, 7,456.25 and 1,639.09 is: 2,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.62 : 7,456.25 = 1,639.09 : x
  2. Step 2: Convert to fraction form
    4,970.62/7,456.25 = 1,639.09/x
  3. Step 3: Cross multiply
    4,970.62x = 7,456.25 × 1,639.09
  4. Step 4: Simplify right side
    4,970.62x = 12,221,464.81
  5. Step 5: Solve for x
    x = 12,221,464.81/4,970.62
  6. Step 6: Final answer
    x = 2,458.74

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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.