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Finding the Fourth Proportional to 4,946.44, 7,419.74 and 2,349.64

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Solution

The fourth proportional to 4,946.44, 7,419.74 and 2,349.64 is: 3,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.44 : 7,419.74 = 2,349.64 : x
  2. Step 2: Convert to fraction form
    4,946.44/7,419.74 = 2,349.64/x
  3. Step 3: Cross multiply
    4,946.44x = 7,419.74 × 2,349.64
  4. Step 4: Simplify right side
    4,946.44x = 17,433,717.89
  5. Step 5: Solve for x
    x = 17,433,717.89/4,946.44
  6. Step 6: Final answer
    x = 3,524.50

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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.