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Finding the Fourth Proportional to 4,869.86, 7,310.57 and 4,099.46

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Solution

The fourth proportional to 4,869.86, 7,310.57 and 4,099.46 is: 6,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.86 : 7,310.57 = 4,099.46 : x
  2. Step 2: Convert to fraction form
    4,869.86/7,310.57 = 4,099.46/x
  3. Step 3: Cross multiply
    4,869.86x = 7,310.57 × 4,099.46
  4. Step 4: Simplify right side
    4,869.86x = 29,969,332.24
  5. Step 5: Solve for x
    x = 29,969,332.24/4,869.86
  6. Step 6: Final answer
    x = 6,154.05

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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.