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Finding the Fourth Proportional to 5,295.56, 7,307.70 and 3,199.32

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Solution

The fourth proportional to 5,295.56, 7,307.70 and 3,199.32 is: 4,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.56 : 7,307.70 = 3,199.32 : x
  2. Step 2: Convert to fraction form
    5,295.56/7,307.70 = 3,199.32/x
  3. Step 3: Cross multiply
    5,295.56x = 7,307.70 × 3,199.32
  4. Step 4: Simplify right side
    5,295.56x = 23,379,670.76
  5. Step 5: Solve for x
    x = 23,379,670.76/5,295.56
  6. Step 6: Final answer
    x = 4,414.96

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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.