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Finding the Fourth Proportional to 4,107.81, 5,668.99 and 2,430.20

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Solution

The fourth proportional to 4,107.81, 5,668.99 and 2,430.20 is: 3,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.81 : 5,668.99 = 2,430.20 : x
  2. Step 2: Convert to fraction form
    4,107.81/5,668.99 = 2,430.20/x
  3. Step 3: Cross multiply
    4,107.81x = 5,668.99 × 2,430.20
  4. Step 4: Simplify right side
    4,107.81x = 13,776,787.59
  5. Step 5: Solve for x
    x = 13,776,787.59/4,107.81
  6. Step 6: Final answer
    x = 3,353.80

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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.