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Finding the Fourth Proportional to 3,436.60, 5,162.58 and 3,307

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Solution

The fourth proportional to 3,436.60, 5,162.58 and 3,307 is: 4,967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.60 : 5,162.58 = 3,307 : x
  2. Step 2: Convert to fraction form
    3,436.60/5,162.58 = 3,307/x
  3. Step 3: Cross multiply
    3,436.60x = 5,162.58 × 3,307
  4. Step 4: Simplify right side
    3,436.60x = 17,072,652.06
  5. Step 5: Solve for x
    x = 17,072,652.06/3,436.60
  6. Step 6: Final answer
    x = 4,967.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.