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Finding the Fourth Proportional to 4,595.70, 6,894.31 and 1,822.38

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Solution

The fourth proportional to 4,595.70, 6,894.31 and 1,822.38 is: 2,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.70 : 6,894.31 = 1,822.38 : x
  2. Step 2: Convert to fraction form
    4,595.70/6,894.31 = 1,822.38/x
  3. Step 3: Cross multiply
    4,595.70x = 6,894.31 × 1,822.38
  4. Step 4: Simplify right side
    4,595.70x = 12,564,070.54
  5. Step 5: Solve for x
    x = 12,564,070.54/4,595.70
  6. Step 6: Final answer
    x = 2,733.88

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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.