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Finding the Fourth Proportional to 3,877.80, 5,816.70 and 3,294.60

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Solution

The fourth proportional to 3,877.80, 5,816.70 and 3,294.60 is: 4,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.80 : 5,816.70 = 3,294.60 : x
  2. Step 2: Convert to fraction form
    3,877.80/5,816.70 = 3,294.60/x
  3. Step 3: Cross multiply
    3,877.80x = 5,816.70 × 3,294.60
  4. Step 4: Simplify right side
    3,877.80x = 19,163,699.82
  5. Step 5: Solve for x
    x = 19,163,699.82/3,877.80
  6. Step 6: Final answer
    x = 4,941.90

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1.5x scale

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.