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Finding the Fourth Proportional to 3,462.95, 4,774.07 and 2,342.12

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Solution

The fourth proportional to 3,462.95, 4,774.07 and 2,342.12 is: 3,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.95 : 4,774.07 = 2,342.12 : x
  2. Step 2: Convert to fraction form
    3,462.95/4,774.07 = 2,342.12/x
  3. Step 3: Cross multiply
    3,462.95x = 4,774.07 × 2,342.12
  4. Step 4: Simplify right side
    3,462.95x = 11,181,426.81
  5. Step 5: Solve for x
    x = 11,181,426.81/3,462.95
  6. Step 6: Final answer
    x = 3,228.87

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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.