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Finding the Fourth Proportional to 5,293.74, 7,301.25 and 3,522.27

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Solution

The fourth proportional to 5,293.74, 7,301.25 and 3,522.27 is: 4,858.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.74 : 7,301.25 = 3,522.27 : x
  2. Step 2: Convert to fraction form
    5,293.74/7,301.25 = 3,522.27/x
  3. Step 3: Cross multiply
    5,293.74x = 7,301.25 × 3,522.27
  4. Step 4: Simplify right side
    5,293.74x = 25,716,973.84
  5. Step 5: Solve for x
    x = 25,716,973.84/5,293.74
  6. Step 6: Final answer
    x = 4,858.00

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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.