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Finding the Fourth Proportional to 4,128.60, 5,698.04 and 2,451.48

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Solution

The fourth proportional to 4,128.60, 5,698.04 and 2,451.48 is: 3,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.60 : 5,698.04 = 2,451.48 : x
  2. Step 2: Convert to fraction form
    4,128.60/5,698.04 = 2,451.48/x
  3. Step 3: Cross multiply
    4,128.60x = 5,698.04 × 2,451.48
  4. Step 4: Simplify right side
    4,128.60x = 13,968,631.10
  5. Step 5: Solve for x
    x = 13,968,631.10/4,128.60
  6. Step 6: Final answer
    x = 3,383.38

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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.