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Finding the Fourth Proportional to 5,903.11, 8,856.51 and 3,708.82

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Solution

The fourth proportional to 5,903.11, 8,856.51 and 3,708.82 is: 5,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.11 : 8,856.51 = 3,708.82 : x
  2. Step 2: Convert to fraction form
    5,903.11/8,856.51 = 3,708.82/x
  3. Step 3: Cross multiply
    5,903.11x = 8,856.51 × 3,708.82
  4. Step 4: Simplify right side
    5,903.11x = 32,847,201.42
  5. Step 5: Solve for x
    x = 32,847,201.42/5,903.11
  6. Step 6: Final answer
    x = 5,564.39

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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.