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Finding the Fourth Proportional to 3,745.34, 5,618.03 and 971.82

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Solution

The fourth proportional to 3,745.34, 5,618.03 and 971.82 is: 1,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.34 : 5,618.03 = 971.82 : x
  2. Step 2: Convert to fraction form
    3,745.34/5,618.03 = 971.82/x
  3. Step 3: Cross multiply
    3,745.34x = 5,618.03 × 971.82
  4. Step 4: Simplify right side
    3,745.34x = 5,459,713.91
  5. Step 5: Solve for x
    x = 5,459,713.91/3,745.34
  6. Step 6: Final answer
    x = 1,457.74

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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.