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Finding the Fourth Proportional to 3,477.57, 4,799.07 and 1,905.69

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Solution

The fourth proportional to 3,477.57, 4,799.07 and 1,905.69 is: 2,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.57 : 4,799.07 = 1,905.69 : x
  2. Step 2: Convert to fraction form
    3,477.57/4,799.07 = 1,905.69/x
  3. Step 3: Cross multiply
    3,477.57x = 4,799.07 × 1,905.69
  4. Step 4: Simplify right side
    3,477.57x = 9,145,539.71
  5. Step 5: Solve for x
    x = 9,145,539.71/3,477.57
  6. Step 6: Final answer
    x = 2,629.87

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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.