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Finding the Fourth Proportional to 3,654.58, 5,484.29 and 1,346.08

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Solution

The fourth proportional to 3,654.58, 5,484.29 and 1,346.08 is: 2,020.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.58 : 5,484.29 = 1,346.08 : x
  2. Step 2: Convert to fraction form
    3,654.58/5,484.29 = 1,346.08/x
  3. Step 3: Cross multiply
    3,654.58x = 5,484.29 × 1,346.08
  4. Step 4: Simplify right side
    3,654.58x = 7,382,293.08
  5. Step 5: Solve for x
    x = 7,382,293.08/3,654.58
  6. Step 6: Final answer
    x = 2,020.01

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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.