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Finding the Fourth Proportional to 3,563.55, 5,345.87 and 1,714.32

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Solution

The fourth proportional to 3,563.55, 5,345.87 and 1,714.32 is: 2,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.55 : 5,345.87 = 1,714.32 : x
  2. Step 2: Convert to fraction form
    3,563.55/5,345.87 = 1,714.32/x
  3. Step 3: Cross multiply
    3,563.55x = 5,345.87 × 1,714.32
  4. Step 4: Simplify right side
    3,563.55x = 9,164,523.29
  5. Step 5: Solve for x
    x = 9,164,523.29/3,563.55
  6. Step 6: Final answer
    x = 2,571.74

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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.