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Finding the Fourth Proportional to 3,563.25, 5,346.03 and 1,714.51

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Solution

The fourth proportional to 3,563.25, 5,346.03 and 1,714.51 is: 2,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.25 : 5,346.03 = 1,714.51 : x
  2. Step 2: Convert to fraction form
    3,563.25/5,346.03 = 1,714.51/x
  3. Step 3: Cross multiply
    3,563.25x = 5,346.03 × 1,714.51
  4. Step 4: Simplify right side
    3,563.25x = 9,165,821.90
  5. Step 5: Solve for x
    x = 9,165,821.90/3,563.25
  6. Step 6: Final answer
    x = 2,572.32

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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.