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Finding the Fourth Proportional to 5,658.63, 7,813.50 and 3,536.64

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Solution

The fourth proportional to 5,658.63, 7,813.50 and 3,536.64 is: 4,883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.63 : 7,813.50 = 3,536.64 : x
  2. Step 2: Convert to fraction form
    5,658.63/7,813.50 = 3,536.64/x
  3. Step 3: Cross multiply
    5,658.63x = 7,813.50 × 3,536.64
  4. Step 4: Simplify right side
    5,658.63x = 27,633,536.64
  5. Step 5: Solve for x
    x = 27,633,536.64/5,658.63
  6. Step 6: Final answer
    x = 4,883.43

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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.