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Finding the Fourth Proportional to 4,788.52, 7,187.62 and 3,403.42

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Solution

The fourth proportional to 4,788.52, 7,187.62 and 3,403.42 is: 5,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.52 : 7,187.62 = 3,403.42 : x
  2. Step 2: Convert to fraction form
    4,788.52/7,187.62 = 3,403.42/x
  3. Step 3: Cross multiply
    4,788.52x = 7,187.62 × 3,403.42
  4. Step 4: Simplify right side
    4,788.52x = 24,462,489.66
  5. Step 5: Solve for x
    x = 24,462,489.66/4,788.52
  6. Step 6: Final answer
    x = 5,108.57

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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.