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Finding the Fourth Proportional to 5,265.02, 7,265.46 and 2,906.71

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Solution

The fourth proportional to 5,265.02, 7,265.46 and 2,906.71 is: 4,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.02 : 7,265.46 = 2,906.71 : x
  2. Step 2: Convert to fraction form
    5,265.02/7,265.46 = 2,906.71/x
  3. Step 3: Cross multiply
    5,265.02x = 7,265.46 × 2,906.71
  4. Step 4: Simplify right side
    5,265.02x = 21,118,577.97
  5. Step 5: Solve for x
    x = 21,118,577.97/5,265.02
  6. Step 6: Final answer
    x = 4,011.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.