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Finding the Fourth Proportional to 3,564.66, 4,915.08 and 3,343.26

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Solution

The fourth proportional to 3,564.66, 4,915.08 and 3,343.26 is: 4,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.66 : 4,915.08 = 3,343.26 : x
  2. Step 2: Convert to fraction form
    3,564.66/4,915.08 = 3,343.26/x
  3. Step 3: Cross multiply
    3,564.66x = 4,915.08 × 3,343.26
  4. Step 4: Simplify right side
    3,564.66x = 16,432,390.36
  5. Step 5: Solve for x
    x = 16,432,390.36/3,564.66
  6. Step 6: Final answer
    x = 4,609.81

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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.