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Finding the Fourth Proportional to 5,743.66, 7,927.06 and 3,354.42

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Solution

The fourth proportional to 5,743.66, 7,927.06 and 3,354.42 is: 4,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.66 : 7,927.06 = 3,354.42 : x
  2. Step 2: Convert to fraction form
    5,743.66/7,927.06 = 3,354.42/x
  3. Step 3: Cross multiply
    5,743.66x = 7,927.06 × 3,354.42
  4. Step 4: Simplify right side
    5,743.66x = 26,590,688.61
  5. Step 5: Solve for x
    x = 26,590,688.61/5,743.66
  6. Step 6: Final answer
    x = 4,629.57

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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.