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Finding the Fourth Proportional to 5,299.04, 7,312.33 and 3,309.48

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Solution

The fourth proportional to 5,299.04, 7,312.33 and 3,309.48 is: 4,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.04 : 7,312.33 = 3,309.48 : x
  2. Step 2: Convert to fraction form
    5,299.04/7,312.33 = 3,309.48/x
  3. Step 3: Cross multiply
    5,299.04x = 7,312.33 × 3,309.48
  4. Step 4: Simplify right side
    5,299.04x = 24,200,009.89
  5. Step 5: Solve for x
    x = 24,200,009.89/5,299.04
  6. Step 6: Final answer
    x = 4,566.87

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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.