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Finding the Fourth Proportional to 3,748.51, 5,172.72 and 2,069.88

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Solution

The fourth proportional to 3,748.51, 5,172.72 and 2,069.88 is: 2,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.51 : 5,172.72 = 2,069.88 : x
  2. Step 2: Convert to fraction form
    3,748.51/5,172.72 = 2,069.88/x
  3. Step 3: Cross multiply
    3,748.51x = 5,172.72 × 2,069.88
  4. Step 4: Simplify right side
    3,748.51x = 10,706,909.67
  5. Step 5: Solve for x
    x = 10,706,909.67/3,748.51
  6. Step 6: Final answer
    x = 2,856.31

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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.