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Finding the Fourth Proportional to 4,412.32, 6,614 and 2,852

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Solution

The fourth proportional to 4,412.32, 6,614 and 2,852 is: 4,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,412.32 : 6,614 = 2,852 : x
  2. Step 2: Convert to fraction form
    4,412.32/6,614 = 2,852/x
  3. Step 3: Cross multiply
    4,412.32x = 6,614 × 2,852
  4. Step 4: Simplify right side
    4,412.32x = 18,863,128
  5. Step 5: Solve for x
    x = 18,863,128/4,412.32
  6. Step 6: Final answer
    x = 4,275.10

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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.