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Finding the Fourth Proportional to 3,477.62, 4,799.13 and 1,905.74

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Solution

The fourth proportional to 3,477.62, 4,799.13 and 1,905.74 is: 2,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.62 : 4,799.13 = 1,905.74 : x
  2. Step 2: Convert to fraction form
    3,477.62/4,799.13 = 1,905.74/x
  3. Step 3: Cross multiply
    3,477.62x = 4,799.13 × 1,905.74
  4. Step 4: Simplify right side
    3,477.62x = 9,145,894.01
  5. Step 5: Solve for x
    x = 9,145,894.01/3,477.62
  6. Step 6: Final answer
    x = 2,629.93

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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.