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Finding the Fourth Proportional to 3,859.71, 5,789.51 and 938.01

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Solution

The fourth proportional to 3,859.71, 5,789.51 and 938.01 is: 1,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.71 : 5,789.51 = 938.01 : x
  2. Step 2: Convert to fraction form
    3,859.71/5,789.51 = 938.01/x
  3. Step 3: Cross multiply
    3,859.71x = 5,789.51 × 938.01
  4. Step 4: Simplify right side
    3,859.71x = 5,430,638.81
  5. Step 5: Solve for x
    x = 5,430,638.81/3,859.71
  6. Step 6: Final answer
    x = 1,407.01

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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.