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Finding the Fourth Proportional to 3,748.30, 5,611.65 and 2,290.30

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Solution

The fourth proportional to 3,748.30, 5,611.65 and 2,290.30 is: 3,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.30 : 5,611.65 = 2,290.30 : x
  2. Step 2: Convert to fraction form
    3,748.30/5,611.65 = 2,290.30/x
  3. Step 3: Cross multiply
    3,748.30x = 5,611.65 × 2,290.30
  4. Step 4: Simplify right side
    3,748.30x = 12,852,362.00
  5. Step 5: Solve for x
    x = 12,852,362.00/3,748.30
  6. Step 6: Final answer
    x = 3,428.85

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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.