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Finding the Fourth Proportional to 3,464.04, 4,777.38 and 3,153

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Solution

The fourth proportional to 3,464.04, 4,777.38 and 3,153 is: 4,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.04 : 4,777.38 = 3,153 : x
  2. Step 2: Convert to fraction form
    3,464.04/4,777.38 = 3,153/x
  3. Step 3: Cross multiply
    3,464.04x = 4,777.38 × 3,153
  4. Step 4: Simplify right side
    3,464.04x = 15,063,079.14
  5. Step 5: Solve for x
    x = 15,063,079.14/3,464.04
  6. Step 6: Final answer
    x = 4,348.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.