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Finding the Fourth Proportional to 3,856.01, 5,784.03 and 934.31

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Solution

The fourth proportional to 3,856.01, 5,784.03 and 934.31 is: 1,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.01 : 5,784.03 = 934.31 : x
  2. Step 2: Convert to fraction form
    3,856.01/5,784.03 = 934.31/x
  3. Step 3: Cross multiply
    3,856.01x = 5,784.03 × 934.31
  4. Step 4: Simplify right side
    3,856.01x = 5,404,048.15
  5. Step 5: Solve for x
    x = 5,404,048.15/3,856.01
  6. Step 6: Final answer
    x = 1,401.46

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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.