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Finding the Fourth Proportional to 4,357.28, 6,538.16 and 2,165.96

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Solution

The fourth proportional to 4,357.28, 6,538.16 and 2,165.96 is: 3,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.28 : 6,538.16 = 2,165.96 : x
  2. Step 2: Convert to fraction form
    4,357.28/6,538.16 = 2,165.96/x
  3. Step 3: Cross multiply
    4,357.28x = 6,538.16 × 2,165.96
  4. Step 4: Simplify right side
    4,357.28x = 14,161,393.03
  5. Step 5: Solve for x
    x = 14,161,393.03/4,357.28
  6. Step 6: Final answer
    x = 3,250.05

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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.