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Finding the Fourth Proportional to 5,691.42, 7,854.93 and 3,334.50

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Solution

The fourth proportional to 5,691.42, 7,854.93 and 3,334.50 is: 4,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.42 : 7,854.93 = 3,334.50 : x
  2. Step 2: Convert to fraction form
    5,691.42/7,854.93 = 3,334.50/x
  3. Step 3: Cross multiply
    5,691.42x = 7,854.93 × 3,334.50
  4. Step 4: Simplify right side
    5,691.42x = 26,192,264.09
  5. Step 5: Solve for x
    x = 26,192,264.09/5,691.42
  6. Step 6: Final answer
    x = 4,602.06

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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.