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Finding the Fourth Proportional to 5,698.96, 7,864.70 and 3,180.97

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Solution

The fourth proportional to 5,698.96, 7,864.70 and 3,180.97 is: 4,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.96 : 7,864.70 = 3,180.97 : x
  2. Step 2: Convert to fraction form
    5,698.96/7,864.70 = 3,180.97/x
  3. Step 3: Cross multiply
    5,698.96x = 7,864.70 × 3,180.97
  4. Step 4: Simplify right side
    5,698.96x = 25,017,368.69
  5. Step 5: Solve for x
    x = 25,017,368.69/5,698.96
  6. Step 6: Final answer
    x = 4,389.81

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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.