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Finding the Fourth Proportional to 5,299.04, 7,313.40 and 3,203.84

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Solution

The fourth proportional to 5,299.04, 7,313.40 and 3,203.84 is: 4,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.04 : 7,313.40 = 3,203.84 : x
  2. Step 2: Convert to fraction form
    5,299.04/7,313.40 = 3,203.84/x
  3. Step 3: Cross multiply
    5,299.04x = 7,313.40 × 3,203.84
  4. Step 4: Simplify right side
    5,299.04x = 23,430,963.46
  5. Step 5: Solve for x
    x = 23,430,963.46/5,299.04
  6. Step 6: Final answer
    x = 4,421.74

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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.