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Finding the Fourth Proportional to 5,297.66, 7,306.63 and 3,703.78

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Solution

The fourth proportional to 5,297.66, 7,306.63 and 3,703.78 is: 5,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.66 : 7,306.63 = 3,703.78 : x
  2. Step 2: Convert to fraction form
    5,297.66/7,306.63 = 3,703.78/x
  3. Step 3: Cross multiply
    5,297.66x = 7,306.63 × 3,703.78
  4. Step 4: Simplify right side
    5,297.66x = 27,062,150.06
  5. Step 5: Solve for x
    x = 27,062,150.06/5,297.66
  6. Step 6: Final answer
    x = 5,108.32

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1.5x scale

Why These Related Problems?

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