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Finding the Fourth Proportional to 5,633.63, 7,775.33 and 3,277.14

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Solution

The fourth proportional to 5,633.63, 7,775.33 and 3,277.14 is: 4,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.63 : 7,775.33 = 3,277.14 : x
  2. Step 2: Convert to fraction form
    5,633.63/7,775.33 = 3,277.14/x
  3. Step 3: Cross multiply
    5,633.63x = 7,775.33 × 3,277.14
  4. Step 4: Simplify right side
    5,633.63x = 25,480,844.96
  5. Step 5: Solve for x
    x = 25,480,844.96/5,633.63
  6. Step 6: Final answer
    x = 4,522.99

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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.