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Finding the Fourth Proportional to 4,946.08, 7,421.04 and 2,349.28

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Solution

The fourth proportional to 4,946.08, 7,421.04 and 2,349.28 is: 3,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.08 : 7,421.04 = 2,349.28 : x
  2. Step 2: Convert to fraction form
    4,946.08/7,421.04 = 2,349.28/x
  3. Step 3: Cross multiply
    4,946.08x = 7,421.04 × 2,349.28
  4. Step 4: Simplify right side
    4,946.08x = 17,434,100.85
  5. Step 5: Solve for x
    x = 17,434,100.85/4,946.08
  6. Step 6: Final answer
    x = 3,524.83

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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.