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Finding the Fourth Proportional to 5,299.06, 7,312.74 and 3,310.77

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Solution

The fourth proportional to 5,299.06, 7,312.74 and 3,310.77 is: 4,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.06 : 7,312.74 = 3,310.77 : x
  2. Step 2: Convert to fraction form
    5,299.06/7,312.74 = 3,310.77/x
  3. Step 3: Cross multiply
    5,299.06x = 7,312.74 × 3,310.77
  4. Step 4: Simplify right side
    5,299.06x = 24,210,800.21
  5. Step 5: Solve for x
    x = 24,210,800.21/5,299.06
  6. Step 6: Final answer
    x = 4,568.89

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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.