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Finding the Fourth Proportional to 5,739.84, 8,609.28 and 2,276.16

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Solution

The fourth proportional to 5,739.84, 8,609.28 and 2,276.16 is: 3,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.84 : 8,609.28 = 2,276.16 : x
  2. Step 2: Convert to fraction form
    5,739.84/8,609.28 = 2,276.16/x
  3. Step 3: Cross multiply
    5,739.84x = 8,609.28 × 2,276.16
  4. Step 4: Simplify right side
    5,739.84x = 19,596,098.76
  5. Step 5: Solve for x
    x = 19,596,098.76/5,739.84
  6. Step 6: Final answer
    x = 3,414.05

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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.