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Finding the Fourth Proportional to 5,406.74, 7,461.12 and 3,048.86

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Solution

The fourth proportional to 5,406.74, 7,461.12 and 3,048.86 is: 4,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.74 : 7,461.12 = 3,048.86 : x
  2. Step 2: Convert to fraction form
    5,406.74/7,461.12 = 3,048.86/x
  3. Step 3: Cross multiply
    5,406.74x = 7,461.12 × 3,048.86
  4. Step 4: Simplify right side
    5,406.74x = 22,747,910.32
  5. Step 5: Solve for x
    x = 22,747,910.32/5,406.74
  6. Step 6: Final answer
    x = 4,207.32

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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.