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Finding the Fourth Proportional to 5,006.25, 7,504.24 and 1,884.08

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Solution

The fourth proportional to 5,006.25, 7,504.24 and 1,884.08 is: 2,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.25 : 7,504.24 = 1,884.08 : x
  2. Step 2: Convert to fraction form
    5,006.25/7,504.24 = 1,884.08/x
  3. Step 3: Cross multiply
    5,006.25x = 7,504.24 × 1,884.08
  4. Step 4: Simplify right side
    5,006.25x = 14,138,550.98
  5. Step 5: Solve for x
    x = 14,138,550.98/5,006.25
  6. Step 6: Final answer
    x = 2,824.18

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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.