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Finding the Fourth Proportional to 2,807.56, 3,875.70 and 2,662.12

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Solution

The fourth proportional to 2,807.56, 3,875.70 and 2,662.12 is: 3,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.56 : 3,875.70 = 2,662.12 : x
  2. Step 2: Convert to fraction form
    2,807.56/3,875.70 = 2,662.12/x
  3. Step 3: Cross multiply
    2,807.56x = 3,875.70 × 2,662.12
  4. Step 4: Simplify right side
    2,807.56x = 10,317,578.48
  5. Step 5: Solve for x
    x = 10,317,578.48/2,807.56
  6. Step 6: Final answer
    x = 3,674.93

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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.