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Finding the Fourth Proportional to 5,690.98, 8,536.74 and 4,597.48

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Solution

The fourth proportional to 5,690.98, 8,536.74 and 4,597.48 is: 6,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.98 : 8,536.74 = 4,597.48 : x
  2. Step 2: Convert to fraction form
    5,690.98/8,536.74 = 4,597.48/x
  3. Step 3: Cross multiply
    5,690.98x = 8,536.74 × 4,597.48
  4. Step 4: Simplify right side
    5,690.98x = 39,247,491.42
  5. Step 5: Solve for x
    x = 39,247,491.42/5,690.98
  6. Step 6: Final answer
    x = 6,896.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.