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Finding the Fourth Proportional to 3,335.14, 4,602.47 and 1,843.05

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Solution

The fourth proportional to 3,335.14, 4,602.47 and 1,843.05 is: 2,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.14 : 4,602.47 = 1,843.05 : x
  2. Step 2: Convert to fraction form
    3,335.14/4,602.47 = 1,843.05/x
  3. Step 3: Cross multiply
    3,335.14x = 4,602.47 × 1,843.05
  4. Step 4: Simplify right side
    3,335.14x = 8,482,582.33
  5. Step 5: Solve for x
    x = 8,482,582.33/3,335.14
  6. Step 6: Final answer
    x = 2,543.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.