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Finding the Fourth Proportional to 4,396, 6,066.40 and 2,507.68

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Solution

The fourth proportional to 4,396, 6,066.40 and 2,507.68 is: 3,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,396 : 6,066.40 = 2,507.68 : x
  2. Step 2: Convert to fraction form
    4,396/6,066.40 = 2,507.68/x
  3. Step 3: Cross multiply
    4,396x = 6,066.40 × 2,507.68
  4. Step 4: Simplify right side
    4,396x = 15,212,589.95
  5. Step 5: Solve for x
    x = 15,212,589.95/4,396
  6. Step 6: Final answer
    x = 3,460.55

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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.