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Finding the Fourth Proportional to 3,671.96, 5,065.62 and 2,345

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Solution

The fourth proportional to 3,671.96, 5,065.62 and 2,345 is: 3,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.96 : 5,065.62 = 2,345 : x
  2. Step 2: Convert to fraction form
    3,671.96/5,065.62 = 2,345/x
  3. Step 3: Cross multiply
    3,671.96x = 5,065.62 × 2,345
  4. Step 4: Simplify right side
    3,671.96x = 11,878,878.90
  5. Step 5: Solve for x
    x = 11,878,878.90/3,671.96
  6. Step 6: Final answer
    x = 3,235.02

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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.