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Finding the Fourth Proportional to 5,756.96, 7,943.31 and 3,397.83

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Solution

The fourth proportional to 5,756.96, 7,943.31 and 3,397.83 is: 4,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.96 : 7,943.31 = 3,397.83 : x
  2. Step 2: Convert to fraction form
    5,756.96/7,943.31 = 3,397.83/x
  3. Step 3: Cross multiply
    5,756.96x = 7,943.31 × 3,397.83
  4. Step 4: Simplify right side
    5,756.96x = 26,990,017.02
  5. Step 5: Solve for x
    x = 26,990,017.02/5,756.96
  6. Step 6: Final answer
    x = 4,688.25

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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.