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Finding the Fourth Proportional to 5,849.54, 8,776.75 and 2,564.99

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Solution

The fourth proportional to 5,849.54, 8,776.75 and 2,564.99 is: 3,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.54 : 8,776.75 = 2,564.99 : x
  2. Step 2: Convert to fraction form
    5,849.54/8,776.75 = 2,564.99/x
  3. Step 3: Cross multiply
    5,849.54x = 8,776.75 × 2,564.99
  4. Step 4: Simplify right side
    5,849.54x = 22,512,269.57
  5. Step 5: Solve for x
    x = 22,512,269.57/5,849.54
  6. Step 6: Final answer
    x = 3,848.55

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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.