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Finding the Fourth Proportional to 4,594.08, 6,887.22 and 1,822.70

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Solution

The fourth proportional to 4,594.08, 6,887.22 and 1,822.70 is: 2,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.08 : 6,887.22 = 1,822.70 : x
  2. Step 2: Convert to fraction form
    4,594.08/6,887.22 = 1,822.70/x
  3. Step 3: Cross multiply
    4,594.08x = 6,887.22 × 1,822.70
  4. Step 4: Simplify right side
    4,594.08x = 12,553,335.89
  5. Step 5: Solve for x
    x = 12,553,335.89/4,594.08
  6. Step 6: Final answer
    x = 2,732.50

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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.