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Finding the Fourth Proportional to 3,803.60, 5,707.40 and 2,700.14

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Solution

The fourth proportional to 3,803.60, 5,707.40 and 2,700.14 is: 4,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.60 : 5,707.40 = 2,700.14 : x
  2. Step 2: Convert to fraction form
    3,803.60/5,707.40 = 2,700.14/x
  3. Step 3: Cross multiply
    3,803.60x = 5,707.40 × 2,700.14
  4. Step 4: Simplify right side
    3,803.60x = 15,410,737.00
  5. Step 5: Solve for x
    x = 15,410,737.00/3,803.60
  6. Step 6: Final answer
    x = 4,051.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.