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Finding the Fourth Proportional to 4,104.47, 5,664.17 and 2,533.47

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Solution

The fourth proportional to 4,104.47, 5,664.17 and 2,533.47 is: 3,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.47 : 5,664.17 = 2,533.47 : x
  2. Step 2: Convert to fraction form
    4,104.47/5,664.17 = 2,533.47/x
  3. Step 3: Cross multiply
    4,104.47x = 5,664.17 × 2,533.47
  4. Step 4: Simplify right side
    4,104.47x = 14,350,004.77
  5. Step 5: Solve for x
    x = 14,350,004.77/4,104.47
  6. Step 6: Final answer
    x = 3,496.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.