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Finding the Fourth Proportional to 3,869.45, 5,800.64 and 1,403.72

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Solution

The fourth proportional to 3,869.45, 5,800.64 and 1,403.72 is: 2,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.45 : 5,800.64 = 1,403.72 : x
  2. Step 2: Convert to fraction form
    3,869.45/5,800.64 = 1,403.72/x
  3. Step 3: Cross multiply
    3,869.45x = 5,800.64 × 1,403.72
  4. Step 4: Simplify right side
    3,869.45x = 8,142,474.38
  5. Step 5: Solve for x
    x = 8,142,474.38/3,869.45
  6. Step 6: Final answer
    x = 2,104.30

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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.