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Finding the Fourth Proportional to 3,756.96, 5,170.98 and 3,461.70

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Solution

The fourth proportional to 3,756.96, 5,170.98 and 3,461.70 is: 4,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.96 : 5,170.98 = 3,461.70 : x
  2. Step 2: Convert to fraction form
    3,756.96/5,170.98 = 3,461.70/x
  3. Step 3: Cross multiply
    3,756.96x = 5,170.98 × 3,461.70
  4. Step 4: Simplify right side
    3,756.96x = 17,900,381.47
  5. Step 5: Solve for x
    x = 17,900,381.47/3,756.96
  6. Step 6: Final answer
    x = 4,764.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.