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Finding the Fourth Proportional to 5,776.42, 8,663.73 and 1,880.80

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Solution

The fourth proportional to 5,776.42, 8,663.73 and 1,880.80 is: 2,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.42 : 8,663.73 = 1,880.80 : x
  2. Step 2: Convert to fraction form
    5,776.42/8,663.73 = 1,880.80/x
  3. Step 3: Cross multiply
    5,776.42x = 8,663.73 × 1,880.80
  4. Step 4: Simplify right side
    5,776.42x = 16,294,743.38
  5. Step 5: Solve for x
    x = 16,294,743.38/5,776.42
  6. Step 6: Final answer
    x = 2,820.91

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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.