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Finding the Fourth Proportional to 5,293.34, 7,302.46 and 3,404.58

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Solution

The fourth proportional to 5,293.34, 7,302.46 and 3,404.58 is: 4,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.34 : 7,302.46 = 3,404.58 : x
  2. Step 2: Convert to fraction form
    5,293.34/7,302.46 = 3,404.58/x
  3. Step 3: Cross multiply
    5,293.34x = 7,302.46 × 3,404.58
  4. Step 4: Simplify right side
    5,293.34x = 24,861,809.27
  5. Step 5: Solve for x
    x = 24,861,809.27/5,293.34
  6. Step 6: Final answer
    x = 4,696.81

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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.