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Finding the Fourth Proportional to 4,314.12, 6,472.12 and 2,365.32

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Solution

The fourth proportional to 4,314.12, 6,472.12 and 2,365.32 is: 3,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.12 : 6,472.12 = 2,365.32 : x
  2. Step 2: Convert to fraction form
    4,314.12/6,472.12 = 2,365.32/x
  3. Step 3: Cross multiply
    4,314.12x = 6,472.12 × 2,365.32
  4. Step 4: Simplify right side
    4,314.12x = 15,308,634.88
  5. Step 5: Solve for x
    x = 15,308,634.88/4,314.12
  6. Step 6: Final answer
    x = 3,548.50

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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.