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Finding the Fourth Proportional to 5,634.63, 7,775.72 and 3,116.93

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Solution

The fourth proportional to 5,634.63, 7,775.72 and 3,116.93 is: 4,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.63 : 7,775.72 = 3,116.93 : x
  2. Step 2: Convert to fraction form
    5,634.63/7,775.72 = 3,116.93/x
  3. Step 3: Cross multiply
    5,634.63x = 7,775.72 × 3,116.93
  4. Step 4: Simplify right side
    5,634.63x = 24,236,343.85
  5. Step 5: Solve for x
    x = 24,236,343.85/5,634.63
  6. Step 6: Final answer
    x = 4,301.32

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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.