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Finding the Fourth Proportional to 4,695.09, 7,042.36 and 1,408.24

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Solution

The fourth proportional to 4,695.09, 7,042.36 and 1,408.24 is: 2,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.09 : 7,042.36 = 1,408.24 : x
  2. Step 2: Convert to fraction form
    4,695.09/7,042.36 = 1,408.24/x
  3. Step 3: Cross multiply
    4,695.09x = 7,042.36 × 1,408.24
  4. Step 4: Simplify right side
    4,695.09x = 9,917,333.05
  5. Step 5: Solve for x
    x = 9,917,333.05/4,695.09
  6. Step 6: Final answer
    x = 2,112.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.