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Finding the Fourth Proportional to 3,756.34, 5,627.19 and 2,113.93

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Solution

The fourth proportional to 3,756.34, 5,627.19 and 2,113.93 is: 3,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.34 : 5,627.19 = 2,113.93 : x
  2. Step 2: Convert to fraction form
    3,756.34/5,627.19 = 2,113.93/x
  3. Step 3: Cross multiply
    3,756.34x = 5,627.19 × 2,113.93
  4. Step 4: Simplify right side
    3,756.34x = 11,895,488.83
  5. Step 5: Solve for x
    x = 11,895,488.83/3,756.34
  6. Step 6: Final answer
    x = 3,166.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.