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Finding the Fourth Proportional to 5,297.49, 7,306.47 and 3,476.88

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Solution

The fourth proportional to 5,297.49, 7,306.47 and 3,476.88 is: 4,795.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.49 : 7,306.47 = 3,476.88 : x
  2. Step 2: Convert to fraction form
    5,297.49/7,306.47 = 3,476.88/x
  3. Step 3: Cross multiply
    5,297.49x = 7,306.47 × 3,476.88
  4. Step 4: Simplify right side
    5,297.49x = 25,403,719.41
  5. Step 5: Solve for x
    x = 25,403,719.41/5,297.49
  6. Step 6: Final answer
    x = 4,795.43

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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.