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Finding the Fourth Proportional to 5,265.96, 7,898.97 and 2,146.00

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Solution

The fourth proportional to 5,265.96, 7,898.97 and 2,146.00 is: 3,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.96 : 7,898.97 = 2,146.00 : x
  2. Step 2: Convert to fraction form
    5,265.96/7,898.97 = 2,146.00/x
  3. Step 3: Cross multiply
    5,265.96x = 7,898.97 × 2,146.00
  4. Step 4: Simplify right side
    5,265.96x = 16,951,139.40
  5. Step 5: Solve for x
    x = 16,951,139.40/5,265.96
  6. Step 6: Final answer
    x = 3,219.00

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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.