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Finding the Fourth Proportional to 4,129.71, 5,698.79 and 2,451.18

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Solution

The fourth proportional to 4,129.71, 5,698.79 and 2,451.18 is: 3,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.71 : 5,698.79 = 2,451.18 : x
  2. Step 2: Convert to fraction form
    4,129.71/5,698.79 = 2,451.18/x
  3. Step 3: Cross multiply
    4,129.71x = 5,698.79 × 2,451.18
  4. Step 4: Simplify right side
    4,129.71x = 13,968,762.06
  5. Step 5: Solve for x
    x = 13,968,762.06/4,129.71
  6. Step 6: Final answer
    x = 3,382.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.