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Finding the Fourth Proportional to 4,150.98, 5,729.12 and 2,358.45

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Solution

The fourth proportional to 4,150.98, 5,729.12 and 2,358.45 is: 3,255.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.98 : 5,729.12 = 2,358.45 : x
  2. Step 2: Convert to fraction form
    4,150.98/5,729.12 = 2,358.45/x
  3. Step 3: Cross multiply
    4,150.98x = 5,729.12 × 2,358.45
  4. Step 4: Simplify right side
    4,150.98x = 13,511,802.63
  5. Step 5: Solve for x
    x = 13,511,802.63/4,150.98
  6. Step 6: Final answer
    x = 3,255.09

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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.