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Finding the Fourth Proportional to 5,497.76, 7,590.48 and 3,635.84

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Solution

The fourth proportional to 5,497.76, 7,590.48 and 3,635.84 is: 5,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.76 : 7,590.48 = 3,635.84 : x
  2. Step 2: Convert to fraction form
    5,497.76/7,590.48 = 3,635.84/x
  3. Step 3: Cross multiply
    5,497.76x = 7,590.48 × 3,635.84
  4. Step 4: Simplify right side
    5,497.76x = 27,597,770.80
  5. Step 5: Solve for x
    x = 27,597,770.80/5,497.76
  6. Step 6: Final answer
    x = 5,019.82

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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.