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Finding the Fourth Proportional to 3,703.16, 5,107.86 and 2,378.48

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Solution

The fourth proportional to 3,703.16, 5,107.86 and 2,378.48 is: 3,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.16 : 5,107.86 = 2,378.48 : x
  2. Step 2: Convert to fraction form
    3,703.16/5,107.86 = 2,378.48/x
  3. Step 3: Cross multiply
    3,703.16x = 5,107.86 × 2,378.48
  4. Step 4: Simplify right side
    3,703.16x = 12,148,917.31
  5. Step 5: Solve for x
    x = 12,148,917.31/3,703.16
  6. Step 6: Final answer
    x = 3,280.69

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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.