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Finding the Fourth Proportional to 5,565, 7,678.47 and 3,326.53

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Solution

The fourth proportional to 5,565, 7,678.47 and 3,326.53 is: 4,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565 : 7,678.47 = 3,326.53 : x
  2. Step 2: Convert to fraction form
    5,565/7,678.47 = 3,326.53/x
  3. Step 3: Cross multiply
    5,565x = 7,678.47 × 3,326.53
  4. Step 4: Simplify right side
    5,565x = 25,542,660.81
  5. Step 5: Solve for x
    x = 25,542,660.81/5,565
  6. Step 6: Final answer
    x = 4,589.88

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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.