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Finding the Fourth Proportional to 4,553.32, 6,825.66 and 2,497

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Solution

The fourth proportional to 4,553.32, 6,825.66 and 2,497 is: 3,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.32 : 6,825.66 = 2,497 : x
  2. Step 2: Convert to fraction form
    4,553.32/6,825.66 = 2,497/x
  3. Step 3: Cross multiply
    4,553.32x = 6,825.66 × 2,497
  4. Step 4: Simplify right side
    4,553.32x = 17,043,673.02
  5. Step 5: Solve for x
    x = 17,043,673.02/4,553.32
  6. Step 6: Final answer
    x = 3,743.13

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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.