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Finding the Fourth Proportional to 5,265.84, 7,264.60 and 3,694.96

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Solution

The fourth proportional to 5,265.84, 7,264.60 and 3,694.96 is: 5,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.84 : 7,264.60 = 3,694.96 : x
  2. Step 2: Convert to fraction form
    5,265.84/7,264.60 = 3,694.96/x
  3. Step 3: Cross multiply
    5,265.84x = 7,264.60 × 3,694.96
  4. Step 4: Simplify right side
    5,265.84x = 26,842,406.42
  5. Step 5: Solve for x
    x = 26,842,406.42/5,265.84
  6. Step 6: Final answer
    x = 5,097.46

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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.