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Finding the Fourth Proportional to 3,407.37, 4,700.75 and 2,007.69

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Solution

The fourth proportional to 3,407.37, 4,700.75 and 2,007.69 is: 2,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.37 : 4,700.75 = 2,007.69 : x
  2. Step 2: Convert to fraction form
    3,407.37/4,700.75 = 2,007.69/x
  3. Step 3: Cross multiply
    3,407.37x = 4,700.75 × 2,007.69
  4. Step 4: Simplify right side
    3,407.37x = 9,437,638.73
  5. Step 5: Solve for x
    x = 9,437,638.73/3,407.37
  6. Step 6: Final answer
    x = 2,769.77

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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.