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Finding the Fourth Proportional to 5,093.64, 7,642.01 and 2,461.22

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Solution

The fourth proportional to 5,093.64, 7,642.01 and 2,461.22 is: 3,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.64 : 7,642.01 = 2,461.22 : x
  2. Step 2: Convert to fraction form
    5,093.64/7,642.01 = 2,461.22/x
  3. Step 3: Cross multiply
    5,093.64x = 7,642.01 × 2,461.22
  4. Step 4: Simplify right side
    5,093.64x = 18,808,617.34
  5. Step 5: Solve for x
    x = 18,808,617.34/5,093.64
  6. Step 6: Final answer
    x = 3,692.57

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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.