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Finding the Fourth Proportional to 5,691.58, 7,856.52 and 3,334.48

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Solution

The fourth proportional to 5,691.58, 7,856.52 and 3,334.48 is: 4,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.58 : 7,856.52 = 3,334.48 : x
  2. Step 2: Convert to fraction form
    5,691.58/7,856.52 = 3,334.48/x
  3. Step 3: Cross multiply
    5,691.58x = 7,856.52 × 3,334.48
  4. Step 4: Simplify right side
    5,691.58x = 26,197,408.81
  5. Step 5: Solve for x
    x = 26,197,408.81/5,691.58
  6. Step 6: Final answer
    x = 4,602.84

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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.