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Finding the Fourth Proportional to 5,269.56, 7,894.62 and 2,674.32

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Solution

The fourth proportional to 5,269.56, 7,894.62 and 2,674.32 is: 4,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.56 : 7,894.62 = 2,674.32 : x
  2. Step 2: Convert to fraction form
    5,269.56/7,894.62 = 2,674.32/x
  3. Step 3: Cross multiply
    5,269.56x = 7,894.62 × 2,674.32
  4. Step 4: Simplify right side
    5,269.56x = 21,112,740.16
  5. Step 5: Solve for x
    x = 21,112,740.16/5,269.56
  6. Step 6: Final answer
    x = 4,006.55

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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.