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Finding the Fourth Proportional to 5,581.98, 7,703.16 and 3,064.20

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Solution

The fourth proportional to 5,581.98, 7,703.16 and 3,064.20 is: 4,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.98 : 7,703.16 = 3,064.20 : x
  2. Step 2: Convert to fraction form
    5,581.98/7,703.16 = 3,064.20/x
  3. Step 3: Cross multiply
    5,581.98x = 7,703.16 × 3,064.20
  4. Step 4: Simplify right side
    5,581.98x = 23,603,984.36
  5. Step 5: Solve for x
    x = 23,603,984.36/5,581.98
  6. Step 6: Final answer
    x = 4,228.61

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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.