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Finding the Fourth Proportional to 5,118.66, 7,673.19 and 4,662.15

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Solution

The fourth proportional to 5,118.66, 7,673.19 and 4,662.15 is: 6,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.66 : 7,673.19 = 4,662.15 : x
  2. Step 2: Convert to fraction form
    5,118.66/7,673.19 = 4,662.15/x
  3. Step 3: Cross multiply
    5,118.66x = 7,673.19 × 4,662.15
  4. Step 4: Simplify right side
    5,118.66x = 35,773,562.76
  5. Step 5: Solve for x
    x = 35,773,562.76/5,118.66
  6. Step 6: Final answer
    x = 6,988.85

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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.