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Finding the Fourth Proportional to 3,875.64, 5,346.12 and 3,616.44

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Solution

The fourth proportional to 3,875.64, 5,346.12 and 3,616.44 is: 4,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.64 : 5,346.12 = 3,616.44 : x
  2. Step 2: Convert to fraction form
    3,875.64/5,346.12 = 3,616.44/x
  3. Step 3: Cross multiply
    3,875.64x = 5,346.12 × 3,616.44
  4. Step 4: Simplify right side
    3,875.64x = 19,333,922.21
  5. Step 5: Solve for x
    x = 19,333,922.21/3,875.64
  6. Step 6: Final answer
    x = 4,988.58

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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.