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Finding the Fourth Proportional to 3,712.08, 5,564.88 and 1,763.22

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Solution

The fourth proportional to 3,712.08, 5,564.88 and 1,763.22 is: 2,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.08 : 5,564.88 = 1,763.22 : x
  2. Step 2: Convert to fraction form
    3,712.08/5,564.88 = 1,763.22/x
  3. Step 3: Cross multiply
    3,712.08x = 5,564.88 × 1,763.22
  4. Step 4: Simplify right side
    3,712.08x = 9,812,107.71
  5. Step 5: Solve for x
    x = 9,812,107.71/3,712.08
  6. Step 6: Final answer
    x = 2,643.29

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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.