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Finding the Fourth Proportional to 3,748.61, 5,173.08 and 2,070.05

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Solution

The fourth proportional to 3,748.61, 5,173.08 and 2,070.05 is: 2,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.61 : 5,173.08 = 2,070.05 : x
  2. Step 2: Convert to fraction form
    3,748.61/5,173.08 = 2,070.05/x
  3. Step 3: Cross multiply
    3,748.61x = 5,173.08 × 2,070.05
  4. Step 4: Simplify right side
    3,748.61x = 10,708,534.25
  5. Step 5: Solve for x
    x = 10,708,534.25/3,748.61
  6. Step 6: Final answer
    x = 2,856.67

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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.