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Finding the Fourth Proportional to 3,345.54, 4,616.84 and 1,853.55

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Solution

The fourth proportional to 3,345.54, 4,616.84 and 1,853.55 is: 2,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.54 : 4,616.84 = 1,853.55 : x
  2. Step 2: Convert to fraction form
    3,345.54/4,616.84 = 1,853.55/x
  3. Step 3: Cross multiply
    3,345.54x = 4,616.84 × 1,853.55
  4. Step 4: Simplify right side
    3,345.54x = 8,557,511.43
  5. Step 5: Solve for x
    x = 8,557,511.43/3,345.54
  6. Step 6: Final answer
    x = 2,557.89

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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.