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Finding the Fourth Proportional to 3,378.86, 4,657.53 and 3,107.31

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Solution

The fourth proportional to 3,378.86, 4,657.53 and 3,107.31 is: 4,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.86 : 4,657.53 = 3,107.31 : x
  2. Step 2: Convert to fraction form
    3,378.86/4,657.53 = 3,107.31/x
  3. Step 3: Cross multiply
    3,378.86x = 4,657.53 × 3,107.31
  4. Step 4: Simplify right side
    3,378.86x = 14,472,366.26
  5. Step 5: Solve for x
    x = 14,472,366.26/3,378.86
  6. Step 6: Final answer
    x = 4,283.21

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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.