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Finding the Fourth Proportional to 5,367.70, 7,407.12 and 2,977.48

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Solution

The fourth proportional to 5,367.70, 7,407.12 and 2,977.48 is: 4,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.70 : 7,407.12 = 2,977.48 : x
  2. Step 2: Convert to fraction form
    5,367.70/7,407.12 = 2,977.48/x
  3. Step 3: Cross multiply
    5,367.70x = 7,407.12 × 2,977.48
  4. Step 4: Simplify right side
    5,367.70x = 22,054,551.66
  5. Step 5: Solve for x
    x = 22,054,551.66/5,367.70
  6. Step 6: Final answer
    x = 4,108.75

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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.