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Finding the Fourth Proportional to 3,654.56, 5,483.93 and 1,546.02

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Solution

The fourth proportional to 3,654.56, 5,483.93 and 1,546.02 is: 2,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.56 : 5,483.93 = 1,546.02 : x
  2. Step 2: Convert to fraction form
    3,654.56/5,483.93 = 1,546.02/x
  3. Step 3: Cross multiply
    3,654.56x = 5,483.93 × 1,546.02
  4. Step 4: Simplify right side
    3,654.56x = 8,478,265.46
  5. Step 5: Solve for x
    x = 8,478,265.46/3,654.56
  6. Step 6: Final answer
    x = 2,319.91

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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.