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Finding the Fourth Proportional to 3,364.64, 5,046.60 and 899.71

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Solution

The fourth proportional to 3,364.64, 5,046.60 and 899.71 is: 1,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.64 : 5,046.60 = 899.71 : x
  2. Step 2: Convert to fraction form
    3,364.64/5,046.60 = 899.71/x
  3. Step 3: Cross multiply
    3,364.64x = 5,046.60 × 899.71
  4. Step 4: Simplify right side
    3,364.64x = 4,540,467.24
  5. Step 5: Solve for x
    x = 4,540,467.24/3,364.64
  6. Step 6: Final answer
    x = 1,349.47

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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.