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Finding the Fourth Proportional to 3,617.44, 5,422.96 and 1,564.32

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Solution

The fourth proportional to 3,617.44, 5,422.96 and 1,564.32 is: 2,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.44 : 5,422.96 = 1,564.32 : x
  2. Step 2: Convert to fraction form
    3,617.44/5,422.96 = 1,564.32/x
  3. Step 3: Cross multiply
    3,617.44x = 5,422.96 × 1,564.32
  4. Step 4: Simplify right side
    3,617.44x = 8,483,244.79
  5. Step 5: Solve for x
    x = 8,483,244.79/3,617.44
  6. Step 6: Final answer
    x = 2,345.10

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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.