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Finding the Fourth Proportional to 4,738.32, 6,539.22 and 2,642.40

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Solution

The fourth proportional to 4,738.32, 6,539.22 and 2,642.40 is: 3,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.32 : 6,539.22 = 2,642.40 : x
  2. Step 2: Convert to fraction form
    4,738.32/6,539.22 = 2,642.40/x
  3. Step 3: Cross multiply
    4,738.32x = 6,539.22 × 2,642.40
  4. Step 4: Simplify right side
    4,738.32x = 17,279,234.93
  5. Step 5: Solve for x
    x = 17,279,234.93/4,738.32
  6. Step 6: Final answer
    x = 3,646.70

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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.