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Finding the Fourth Proportional to 3,564.28, 5,366.23 and 3,088

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Solution

The fourth proportional to 3,564.28, 5,366.23 and 3,088 is: 4,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.28 : 5,366.23 = 3,088 : x
  2. Step 2: Convert to fraction form
    3,564.28/5,366.23 = 3,088/x
  3. Step 3: Cross multiply
    3,564.28x = 5,366.23 × 3,088
  4. Step 4: Simplify right side
    3,564.28x = 16,570,918.24
  5. Step 5: Solve for x
    x = 16,570,918.24/3,564.28
  6. Step 6: Final answer
    x = 4,649.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.