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Finding the Fourth Proportional to 5,296.59, 7,307.01 and 3,199.50

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Solution

The fourth proportional to 5,296.59, 7,307.01 and 3,199.50 is: 4,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.59 : 7,307.01 = 3,199.50 : x
  2. Step 2: Convert to fraction form
    5,296.59/7,307.01 = 3,199.50/x
  3. Step 3: Cross multiply
    5,296.59x = 7,307.01 × 3,199.50
  4. Step 4: Simplify right side
    5,296.59x = 23,378,778.50
  5. Step 5: Solve for x
    x = 23,378,778.50/5,296.59
  6. Step 6: Final answer
    x = 4,413.93

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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.