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Finding the Fourth Proportional to 3,730.02, 5,181.17 and 3,670.50

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Solution

The fourth proportional to 3,730.02, 5,181.17 and 3,670.50 is: 5,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.02 : 5,181.17 = 3,670.50 : x
  2. Step 2: Convert to fraction form
    3,730.02/5,181.17 = 3,670.50/x
  3. Step 3: Cross multiply
    3,730.02x = 5,181.17 × 3,670.50
  4. Step 4: Simplify right side
    3,730.02x = 19,017,466.13
  5. Step 5: Solve for x
    x = 19,017,466.13/3,730.02
  6. Step 6: Final answer
    x = 5,098.49

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.