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Finding the Fourth Proportional to 4,865.81, 6,718.04 and 3,744.77

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Solution

The fourth proportional to 4,865.81, 6,718.04 and 3,744.77 is: 5,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.81 : 6,718.04 = 3,744.77 : x
  2. Step 2: Convert to fraction form
    4,865.81/6,718.04 = 3,744.77/x
  3. Step 3: Cross multiply
    4,865.81x = 6,718.04 × 3,744.77
  4. Step 4: Simplify right side
    4,865.81x = 25,157,476.38
  5. Step 5: Solve for x
    x = 25,157,476.38/4,865.81
  6. Step 6: Final answer
    x = 5,170.26

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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.