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Finding the Fourth Proportional to 3,877.74, 5,813.37 and 2,335.50

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Solution

The fourth proportional to 3,877.74, 5,813.37 and 2,335.50 is: 3,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.74 : 5,813.37 = 2,335.50 : x
  2. Step 2: Convert to fraction form
    3,877.74/5,813.37 = 2,335.50/x
  3. Step 3: Cross multiply
    3,877.74x = 5,813.37 × 2,335.50
  4. Step 4: Simplify right side
    3,877.74x = 13,577,125.64
  5. Step 5: Solve for x
    x = 13,577,125.64/3,877.74
  6. Step 6: Final answer
    x = 3,501.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.