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Finding the Fourth Proportional to 4,458, 6,680.52 and 2,507.52

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Solution

The fourth proportional to 4,458, 6,680.52 and 2,507.52 is: 3,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458 : 6,680.52 = 2,507.52 : x
  2. Step 2: Convert to fraction form
    4,458/6,680.52 = 2,507.52/x
  3. Step 3: Cross multiply
    4,458x = 6,680.52 × 2,507.52
  4. Step 4: Simplify right side
    4,458x = 16,751,537.51
  5. Step 5: Solve for x
    x = 16,751,537.51/4,458
  6. Step 6: Final answer
    x = 3,757.64

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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.