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Finding the Fourth Proportional to 3,748.56, 5,173.11 and 2,070.05

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Solution

The fourth proportional to 3,748.56, 5,173.11 and 2,070.05 is: 2,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.56 : 5,173.11 = 2,070.05 : x
  2. Step 2: Convert to fraction form
    3,748.56/5,173.11 = 2,070.05/x
  3. Step 3: Cross multiply
    3,748.56x = 5,173.11 × 2,070.05
  4. Step 4: Simplify right side
    3,748.56x = 10,708,570.49
  5. Step 5: Solve for x
    x = 10,708,570.49/3,748.56
  6. Step 6: Final answer
    x = 2,856.72

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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.