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Finding the Fourth Proportional to 3,730.60, 5,577.90 and 3,189.16

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Solution

The fourth proportional to 3,730.60, 5,577.90 and 3,189.16 is: 4,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.60 : 5,577.90 = 3,189.16 : x
  2. Step 2: Convert to fraction form
    3,730.60/5,577.90 = 3,189.16/x
  3. Step 3: Cross multiply
    3,730.60x = 5,577.90 × 3,189.16
  4. Step 4: Simplify right side
    3,730.60x = 17,788,815.56
  5. Step 5: Solve for x
    x = 17,788,815.56/3,730.60
  6. Step 6: Final answer
    x = 4,768.35

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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.