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Finding the Fourth Proportional to 5,746.76, 8,606.86 and 3,433.16

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Solution

The fourth proportional to 5,746.76, 8,606.86 and 3,433.16 is: 5,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.76 : 8,606.86 = 3,433.16 : x
  2. Step 2: Convert to fraction form
    5,746.76/8,606.86 = 3,433.16/x
  3. Step 3: Cross multiply
    5,746.76x = 8,606.86 × 3,433.16
  4. Step 4: Simplify right side
    5,746.76x = 29,548,727.48
  5. Step 5: Solve for x
    x = 29,548,727.48/5,746.76
  6. Step 6: Final answer
    x = 5,141.81

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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.