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Finding the Fourth Proportional to 5,367.54, 7,407.63 and 2,977.74

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Solution

The fourth proportional to 5,367.54, 7,407.63 and 2,977.74 is: 4,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.54 : 7,407.63 = 2,977.74 : x
  2. Step 2: Convert to fraction form
    5,367.54/7,407.63 = 2,977.74/x
  3. Step 3: Cross multiply
    5,367.54x = 7,407.63 × 2,977.74
  4. Step 4: Simplify right side
    5,367.54x = 22,057,996.16
  5. Step 5: Solve for x
    x = 22,057,996.16/5,367.54
  6. Step 6: Final answer
    x = 4,109.52

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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.