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Finding the Fourth Proportional to 3,364.92, 5,047.47 and 899.74

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Solution

The fourth proportional to 3,364.92, 5,047.47 and 899.74 is: 1,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.92 : 5,047.47 = 899.74 : x
  2. Step 2: Convert to fraction form
    3,364.92/5,047.47 = 899.74/x
  3. Step 3: Cross multiply
    3,364.92x = 5,047.47 × 899.74
  4. Step 4: Simplify right side
    3,364.92x = 4,541,410.66
  5. Step 5: Solve for x
    x = 4,541,410.66/3,364.92
  6. Step 6: Final answer
    x = 1,349.63

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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.