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Finding the Fourth Proportional to 5,682.60, 7,836.48 and 3,444.84

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Solution

The fourth proportional to 5,682.60, 7,836.48 and 3,444.84 is: 4,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.60 : 7,836.48 = 3,444.84 : x
  2. Step 2: Convert to fraction form
    5,682.60/7,836.48 = 3,444.84/x
  3. Step 3: Cross multiply
    5,682.60x = 7,836.48 × 3,444.84
  4. Step 4: Simplify right side
    5,682.60x = 26,995,419.76
  5. Step 5: Solve for x
    x = 26,995,419.76/5,682.60
  6. Step 6: Final answer
    x = 4,750.54

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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.