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Finding the Fourth Proportional to 4,107.79, 5,669.16 and 2,429.74

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Solution

The fourth proportional to 4,107.79, 5,669.16 and 2,429.74 is: 3,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.79 : 5,669.16 = 2,429.74 : x
  2. Step 2: Convert to fraction form
    4,107.79/5,669.16 = 2,429.74/x
  3. Step 3: Cross multiply
    4,107.79x = 5,669.16 × 2,429.74
  4. Step 4: Simplify right side
    4,107.79x = 13,774,584.82
  5. Step 5: Solve for x
    x = 13,774,584.82/4,107.79
  6. Step 6: Final answer
    x = 3,353.28

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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.