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Finding the Fourth Proportional to 5,187.32, 7,808.66 and 4,651.50

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Solution

The fourth proportional to 5,187.32, 7,808.66 and 4,651.50 is: 7,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.32 : 7,808.66 = 4,651.50 : x
  2. Step 2: Convert to fraction form
    5,187.32/7,808.66 = 4,651.50/x
  3. Step 3: Cross multiply
    5,187.32x = 7,808.66 × 4,651.50
  4. Step 4: Simplify right side
    5,187.32x = 36,321,958.73
  5. Step 5: Solve for x
    x = 36,321,958.73/5,187.32
  6. Step 6: Final answer
    x = 7,002.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.