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Finding the Fourth Proportional to 3,477.60, 4,798.71 and 2,264.09

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Solution

The fourth proportional to 3,477.60, 4,798.71 and 2,264.09 is: 3,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.60 : 4,798.71 = 2,264.09 : x
  2. Step 2: Convert to fraction form
    3,477.60/4,798.71 = 2,264.09/x
  3. Step 3: Cross multiply
    3,477.60x = 4,798.71 × 2,264.09
  4. Step 4: Simplify right side
    3,477.60x = 10,864,687.33
  5. Step 5: Solve for x
    x = 10,864,687.33/3,477.60
  6. Step 6: Final answer
    x = 3,124.19

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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.