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Finding the Fourth Proportional to 3,746.82, 5,621.34 and 1,666.53

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Solution

The fourth proportional to 3,746.82, 5,621.34 and 1,666.53 is: 2,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.82 : 5,621.34 = 1,666.53 : x
  2. Step 2: Convert to fraction form
    3,746.82/5,621.34 = 1,666.53/x
  3. Step 3: Cross multiply
    3,746.82x = 5,621.34 × 1,666.53
  4. Step 4: Simplify right side
    3,746.82x = 9,368,131.75
  5. Step 5: Solve for x
    x = 9,368,131.75/3,746.82
  6. Step 6: Final answer
    x = 2,500.29

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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.