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Finding the Fourth Proportional to 4,095.36, 5,650.02 and 2,416.23

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Solution

The fourth proportional to 4,095.36, 5,650.02 and 2,416.23 is: 3,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.36 : 5,650.02 = 2,416.23 : x
  2. Step 2: Convert to fraction form
    4,095.36/5,650.02 = 2,416.23/x
  3. Step 3: Cross multiply
    4,095.36x = 5,650.02 × 2,416.23
  4. Step 4: Simplify right side
    4,095.36x = 13,651,747.82
  5. Step 5: Solve for x
    x = 13,651,747.82/4,095.36
  6. Step 6: Final answer
    x = 3,333.47

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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.