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Finding the Fourth Proportional to 3,773.34, 5,656.10 and 2,537.82

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Solution

The fourth proportional to 3,773.34, 5,656.10 and 2,537.82 is: 3,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.34 : 5,656.10 = 2,537.82 : x
  2. Step 2: Convert to fraction form
    3,773.34/5,656.10 = 2,537.82/x
  3. Step 3: Cross multiply
    3,773.34x = 5,656.10 × 2,537.82
  4. Step 4: Simplify right side
    3,773.34x = 14,354,151.01
  5. Step 5: Solve for x
    x = 14,354,151.01/3,773.34
  6. Step 6: Final answer
    x = 3,804.10

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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.