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Finding the Fourth Proportional to 3,546.92, 4,897.62 and 2,288.60

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Solution

The fourth proportional to 3,546.92, 4,897.62 and 2,288.60 is: 3,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.92 : 4,897.62 = 2,288.60 : x
  2. Step 2: Convert to fraction form
    3,546.92/4,897.62 = 2,288.60/x
  3. Step 3: Cross multiply
    3,546.92x = 4,897.62 × 2,288.60
  4. Step 4: Simplify right side
    3,546.92x = 11,208,693.13
  5. Step 5: Solve for x
    x = 11,208,693.13/3,546.92
  6. Step 6: Final answer
    x = 3,160.12

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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.