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Finding the Fourth Proportional to 3,677.12, 5,074.08 and 2,980.16

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Solution

The fourth proportional to 3,677.12, 5,074.08 and 2,980.16 is: 4,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.12 : 5,074.08 = 2,980.16 : x
  2. Step 2: Convert to fraction form
    3,677.12/5,074.08 = 2,980.16/x
  3. Step 3: Cross multiply
    3,677.12x = 5,074.08 × 2,980.16
  4. Step 4: Simplify right side
    3,677.12x = 15,121,570.25
  5. Step 5: Solve for x
    x = 15,121,570.25/3,677.12
  6. Step 6: Final answer
    x = 4,112.34

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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.