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Finding the Fourth Proportional to 5,398.86, 7,450.16 and 3,007.74

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Solution

The fourth proportional to 5,398.86, 7,450.16 and 3,007.74 is: 4,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.86 : 7,450.16 = 3,007.74 : x
  2. Step 2: Convert to fraction form
    5,398.86/7,450.16 = 3,007.74/x
  3. Step 3: Cross multiply
    5,398.86x = 7,450.16 × 3,007.74
  4. Step 4: Simplify right side
    5,398.86x = 22,408,144.24
  5. Step 5: Solve for x
    x = 22,408,144.24/5,398.86
  6. Step 6: Final answer
    x = 4,150.53

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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.