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Finding the Fourth Proportional to 3,512.04, 5,268.64 and 1,564.17

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Solution

The fourth proportional to 3,512.04, 5,268.64 and 1,564.17 is: 2,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.04 : 5,268.64 = 1,564.17 : x
  2. Step 2: Convert to fraction form
    3,512.04/5,268.64 = 1,564.17/x
  3. Step 3: Cross multiply
    3,512.04x = 5,268.64 × 1,564.17
  4. Step 4: Simplify right side
    3,512.04x = 8,241,048.63
  5. Step 5: Solve for x
    x = 8,241,048.63/3,512.04
  6. Step 6: Final answer
    x = 2,346.51

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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.