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Finding the Fourth Proportional to 3,633.36, 5,442.29 and 2,746.08

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Solution

The fourth proportional to 3,633.36, 5,442.29 and 2,746.08 is: 4,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.36 : 5,442.29 = 2,746.08 : x
  2. Step 2: Convert to fraction form
    3,633.36/5,442.29 = 2,746.08/x
  3. Step 3: Cross multiply
    3,633.36x = 5,442.29 × 2,746.08
  4. Step 4: Simplify right side
    3,633.36x = 14,944,963.72
  5. Step 5: Solve for x
    x = 14,944,963.72/3,633.36
  6. Step 6: Final answer
    x = 4,113.26

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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.