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Finding the Fourth Proportional to 4,275.09, 6,404.10 and 2,809.80

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Solution

The fourth proportional to 4,275.09, 6,404.10 and 2,809.80 is: 4,209.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.09 : 6,404.10 = 2,809.80 : x
  2. Step 2: Convert to fraction form
    4,275.09/6,404.10 = 2,809.80/x
  3. Step 3: Cross multiply
    4,275.09x = 6,404.10 × 2,809.80
  4. Step 4: Simplify right side
    4,275.09x = 17,994,240.18
  5. Step 5: Solve for x
    x = 17,994,240.18/4,275.09
  6. Step 6: Final answer
    x = 4,209.09

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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.