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Finding the Fourth Proportional to 5,725.91, 8,590.10 and 1,777.09

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Solution

The fourth proportional to 5,725.91, 8,590.10 and 1,777.09 is: 2,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.91 : 8,590.10 = 1,777.09 : x
  2. Step 2: Convert to fraction form
    5,725.91/8,590.10 = 1,777.09/x
  3. Step 3: Cross multiply
    5,725.91x = 8,590.10 × 1,777.09
  4. Step 4: Simplify right side
    5,725.91x = 15,265,350.45
  5. Step 5: Solve for x
    x = 15,265,350.45/5,725.91
  6. Step 6: Final answer
    x = 2,666.01

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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.