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Finding the Fourth Proportional to 5,901.77, 8,856.07 and 2,203.86

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Solution

The fourth proportional to 5,901.77, 8,856.07 and 2,203.86 is: 3,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.77 : 8,856.07 = 2,203.86 : x
  2. Step 2: Convert to fraction form
    5,901.77/8,856.07 = 2,203.86/x
  3. Step 3: Cross multiply
    5,901.77x = 8,856.07 × 2,203.86
  4. Step 4: Simplify right side
    5,901.77x = 19,517,499.71
  5. Step 5: Solve for x
    x = 19,517,499.71/5,901.77
  6. Step 6: Final answer
    x = 3,307.06

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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.