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Finding the Fourth Proportional to 5,817.96, 8,029.08 and 5,407.92

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Solution

The fourth proportional to 5,817.96, 8,029.08 and 5,407.92 is: 7,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.96 : 8,029.08 = 5,407.92 : x
  2. Step 2: Convert to fraction form
    5,817.96/8,029.08 = 5,407.92/x
  3. Step 3: Cross multiply
    5,817.96x = 8,029.08 × 5,407.92
  4. Step 4: Simplify right side
    5,817.96x = 43,420,622.31
  5. Step 5: Solve for x
    x = 43,420,622.31/5,817.96
  6. Step 6: Final answer
    x = 7,463.20

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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.