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Finding the Fourth Proportional to 3,822.68, 5,734.59 and 1,357.30

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Solution

The fourth proportional to 3,822.68, 5,734.59 and 1,357.30 is: 2,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.68 : 5,734.59 = 1,357.30 : x
  2. Step 2: Convert to fraction form
    3,822.68/5,734.59 = 1,357.30/x
  3. Step 3: Cross multiply
    3,822.68x = 5,734.59 × 1,357.30
  4. Step 4: Simplify right side
    3,822.68x = 7,783,549.76
  5. Step 5: Solve for x
    x = 7,783,549.76/3,822.68
  6. Step 6: Final answer
    x = 2,036.15

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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.