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Finding the Fourth Proportional to 3,802.08, 5,213.36 and 3,427.52

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Solution

The fourth proportional to 3,802.08, 5,213.36 and 3,427.52 is: 4,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.08 : 5,213.36 = 3,427.52 : x
  2. Step 2: Convert to fraction form
    3,802.08/5,213.36 = 3,427.52/x
  3. Step 3: Cross multiply
    3,802.08x = 5,213.36 × 3,427.52
  4. Step 4: Simplify right side
    3,802.08x = 17,868,895.67
  5. Step 5: Solve for x
    x = 17,868,895.67/3,802.08
  6. Step 6: Final answer
    x = 4,699.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.