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Finding the Fourth Proportional to 3,802.84, 5,249.82 and 2,567.32

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Solution

The fourth proportional to 3,802.84, 5,249.82 and 2,567.32 is: 3,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.84 : 5,249.82 = 2,567.32 : x
  2. Step 2: Convert to fraction form
    3,802.84/5,249.82 = 2,567.32/x
  3. Step 3: Cross multiply
    3,802.84x = 5,249.82 × 2,567.32
  4. Step 4: Simplify right side
    3,802.84x = 13,477,967.88
  5. Step 5: Solve for x
    x = 13,477,967.88/3,802.84
  6. Step 6: Final answer
    x = 3,544.18

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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.