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Finding the Fourth Proportional to 3,707.90, 5,113.07 and 3,178.63

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Solution

The fourth proportional to 3,707.90, 5,113.07 and 3,178.63 is: 4,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.90 : 5,113.07 = 3,178.63 : x
  2. Step 2: Convert to fraction form
    3,707.90/5,113.07 = 3,178.63/x
  3. Step 3: Cross multiply
    3,707.90x = 5,113.07 × 3,178.63
  4. Step 4: Simplify right side
    3,707.90x = 16,252,529.02
  5. Step 5: Solve for x
    x = 16,252,529.02/3,707.90
  6. Step 6: Final answer
    x = 4,383.21

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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.