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Finding the Fourth Proportional to 3,006.54, 4,509.99 and 1,909.38

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Solution

The fourth proportional to 3,006.54, 4,509.99 and 1,909.38 is: 2,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.54 : 4,509.99 = 1,909.38 : x
  2. Step 2: Convert to fraction form
    3,006.54/4,509.99 = 1,909.38/x
  3. Step 3: Cross multiply
    3,006.54x = 4,509.99 × 1,909.38
  4. Step 4: Simplify right side
    3,006.54x = 8,611,284.71
  5. Step 5: Solve for x
    x = 8,611,284.71/3,006.54
  6. Step 6: Final answer
    x = 2,864.18

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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.