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Finding the Fourth Proportional to 5,430.80, 8,134.05 and 4,194.20

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Solution

The fourth proportional to 5,430.80, 8,134.05 and 4,194.20 is: 6,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.80 : 8,134.05 = 4,194.20 : x
  2. Step 2: Convert to fraction form
    5,430.80/8,134.05 = 4,194.20/x
  3. Step 3: Cross multiply
    5,430.80x = 8,134.05 × 4,194.20
  4. Step 4: Simplify right side
    5,430.80x = 34,115,832.51
  5. Step 5: Solve for x
    x = 34,115,832.51/5,430.80
  6. Step 6: Final answer
    x = 6,281.92

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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.