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Finding the Fourth Proportional to 4,964.48, 7,447.40 and 2,334.68

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Solution

The fourth proportional to 4,964.48, 7,447.40 and 2,334.68 is: 3,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.48 : 7,447.40 = 2,334.68 : x
  2. Step 2: Convert to fraction form
    4,964.48/7,447.40 = 2,334.68/x
  3. Step 3: Cross multiply
    4,964.48x = 7,447.40 × 2,334.68
  4. Step 4: Simplify right side
    4,964.48x = 17,387,295.83
  5. Step 5: Solve for x
    x = 17,387,295.83/4,964.48
  6. Step 6: Final answer
    x = 3,502.34

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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.