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Finding the Fourth Proportional to 3,809.95, 5,714.93 and 1,730.68

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Solution

The fourth proportional to 3,809.95, 5,714.93 and 1,730.68 is: 2,596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.95 : 5,714.93 = 1,730.68 : x
  2. Step 2: Convert to fraction form
    3,809.95/5,714.93 = 1,730.68/x
  3. Step 3: Cross multiply
    3,809.95x = 5,714.93 × 1,730.68
  4. Step 4: Simplify right side
    3,809.95x = 9,890,715.05
  5. Step 5: Solve for x
    x = 9,890,715.05/3,809.95
  6. Step 6: Final answer
    x = 2,596.02

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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.