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Finding the Fourth Proportional to 3,345.76, 4,616.92 and 1,853.57

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Solution

The fourth proportional to 3,345.76, 4,616.92 and 1,853.57 is: 2,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.76 : 4,616.92 = 1,853.57 : x
  2. Step 2: Convert to fraction form
    3,345.76/4,616.92 = 1,853.57/x
  3. Step 3: Cross multiply
    3,345.76x = 4,616.92 × 1,853.57
  4. Step 4: Simplify right side
    3,345.76x = 8,557,784.40
  5. Step 5: Solve for x
    x = 8,557,784.40/3,345.76
  6. Step 6: Final answer
    x = 2,557.80

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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.