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Finding the Fourth Proportional to 4,595.57, 6,893.22 and 1,998.50

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Solution

The fourth proportional to 4,595.57, 6,893.22 and 1,998.50 is: 2,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.57 : 6,893.22 = 1,998.50 : x
  2. Step 2: Convert to fraction form
    4,595.57/6,893.22 = 1,998.50/x
  3. Step 3: Cross multiply
    4,595.57x = 6,893.22 × 1,998.50
  4. Step 4: Simplify right side
    4,595.57x = 13,776,100.17
  5. Step 5: Solve for x
    x = 13,776,100.17/4,595.57
  6. Step 6: Final answer
    x = 2,997.69

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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.