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Finding the Fourth Proportional to 4,130.44, 5,698.14 and 2,451.91

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Solution

The fourth proportional to 4,130.44, 5,698.14 and 2,451.91 is: 3,382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.44 : 5,698.14 = 2,451.91 : x
  2. Step 2: Convert to fraction form
    4,130.44/5,698.14 = 2,451.91/x
  3. Step 3: Cross multiply
    4,130.44x = 5,698.14 × 2,451.91
  4. Step 4: Simplify right side
    4,130.44x = 13,971,326.45
  5. Step 5: Solve for x
    x = 13,971,326.45/4,130.44
  6. Step 6: Final answer
    x = 3,382.53

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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.