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Finding the Fourth Proportional to 3,480.48, 5,218.26 and 1,748.16

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Solution

The fourth proportional to 3,480.48, 5,218.26 and 1,748.16 is: 2,621.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.48 : 5,218.26 = 1,748.16 : x
  2. Step 2: Convert to fraction form
    3,480.48/5,218.26 = 1,748.16/x
  3. Step 3: Cross multiply
    3,480.48x = 5,218.26 × 1,748.16
  4. Step 4: Simplify right side
    3,480.48x = 9,122,353.40
  5. Step 5: Solve for x
    x = 9,122,353.40/3,480.48
  6. Step 6: Final answer
    x = 2,621.00

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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.