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Finding the Fourth Proportional to 5,507.94, 8,266.03 and 3,430.97

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Solution

The fourth proportional to 5,507.94, 8,266.03 and 3,430.97 is: 5,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.94 : 8,266.03 = 3,430.97 : x
  2. Step 2: Convert to fraction form
    5,507.94/8,266.03 = 3,430.97/x
  3. Step 3: Cross multiply
    5,507.94x = 8,266.03 × 3,430.97
  4. Step 4: Simplify right side
    5,507.94x = 28,360,451.04
  5. Step 5: Solve for x
    x = 28,360,451.04/5,507.94
  6. Step 6: Final answer
    x = 5,149.01

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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.