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Finding the Fourth Proportional to 3,745.76, 5,165.16 and 2,564.96

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Solution

The fourth proportional to 3,745.76, 5,165.16 and 2,564.96 is: 3,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.76 : 5,165.16 = 2,564.96 : x
  2. Step 2: Convert to fraction form
    3,745.76/5,165.16 = 2,564.96/x
  3. Step 3: Cross multiply
    3,745.76x = 5,165.16 × 2,564.96
  4. Step 4: Simplify right side
    3,745.76x = 13,248,428.79
  5. Step 5: Solve for x
    x = 13,248,428.79/3,745.76
  6. Step 6: Final answer
    x = 3,536.91

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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.