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Finding the Fourth Proportional to 4,426, 6,639.84 and 1,654.62

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Solution

The fourth proportional to 4,426, 6,639.84 and 1,654.62 is: 2,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426 : 6,639.84 = 1,654.62 : x
  2. Step 2: Convert to fraction form
    4,426/6,639.84 = 1,654.62/x
  3. Step 3: Cross multiply
    4,426x = 6,639.84 × 1,654.62
  4. Step 4: Simplify right side
    4,426x = 10,986,412.06
  5. Step 5: Solve for x
    x = 10,986,412.06/4,426
  6. Step 6: Final answer
    x = 2,482.24

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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.