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Finding the Fourth Proportional to 5,297.66, 7,948.31 and 2,378.01

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Solution

The fourth proportional to 5,297.66, 7,948.31 and 2,378.01 is: 3,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.66 : 7,948.31 = 2,378.01 : x
  2. Step 2: Convert to fraction form
    5,297.66/7,948.31 = 2,378.01/x
  3. Step 3: Cross multiply
    5,297.66x = 7,948.31 × 2,378.01
  4. Step 4: Simplify right side
    5,297.66x = 18,901,160.66
  5. Step 5: Solve for x
    x = 18,901,160.66/5,297.66
  6. Step 6: Final answer
    x = 3,567.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.