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Finding the Fourth Proportional to 5,258.02, 7,887.22 and 1,748.34

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Solution

The fourth proportional to 5,258.02, 7,887.22 and 1,748.34 is: 2,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.02 : 7,887.22 = 1,748.34 : x
  2. Step 2: Convert to fraction form
    5,258.02/7,887.22 = 1,748.34/x
  3. Step 3: Cross multiply
    5,258.02x = 7,887.22 × 1,748.34
  4. Step 4: Simplify right side
    5,258.02x = 13,789,542.21
  5. Step 5: Solve for x
    x = 13,789,542.21/5,258.02
  6. Step 6: Final answer
    x = 2,622.57

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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.