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Finding the Fourth Proportional to 5,689.31, 8,533.86 and 2,178.36

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Solution

The fourth proportional to 5,689.31, 8,533.86 and 2,178.36 is: 3,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.31 : 8,533.86 = 2,178.36 : x
  2. Step 2: Convert to fraction form
    5,689.31/8,533.86 = 2,178.36/x
  3. Step 3: Cross multiply
    5,689.31x = 8,533.86 × 2,178.36
  4. Step 4: Simplify right side
    5,689.31x = 18,589,811.10
  5. Step 5: Solve for x
    x = 18,589,811.10/5,689.31
  6. Step 6: Final answer
    x = 3,267.50

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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.