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Finding the Fourth Proportional to 3,364.32, 4,642.56 and 2,314.56

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Solution

The fourth proportional to 3,364.32, 4,642.56 and 2,314.56 is: 3,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.32 : 4,642.56 = 2,314.56 : x
  2. Step 2: Convert to fraction form
    3,364.32/4,642.56 = 2,314.56/x
  3. Step 3: Cross multiply
    3,364.32x = 4,642.56 × 2,314.56
  4. Step 4: Simplify right side
    3,364.32x = 10,745,483.67
  5. Step 5: Solve for x
    x = 10,745,483.67/3,364.32
  6. Step 6: Final answer
    x = 3,193.95

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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.