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Finding the Fourth Proportional to 5,741.28, 8,616.24 and 4,206.24

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Solution

The fourth proportional to 5,741.28, 8,616.24 and 4,206.24 is: 6,312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.28 : 8,616.24 = 4,206.24 : x
  2. Step 2: Convert to fraction form
    5,741.28/8,616.24 = 4,206.24/x
  3. Step 3: Cross multiply
    5,741.28x = 8,616.24 × 4,206.24
  4. Step 4: Simplify right side
    5,741.28x = 36,241,973.34
  5. Step 5: Solve for x
    x = 36,241,973.34/5,741.28
  6. Step 6: Final answer
    x = 6,312.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.