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Finding the Fourth Proportional to 5,774.42, 8,663.64 and 1,878.80

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Solution

The fourth proportional to 5,774.42, 8,663.64 and 1,878.80 is: 2,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.42 : 8,663.64 = 1,878.80 : x
  2. Step 2: Convert to fraction form
    5,774.42/8,663.64 = 1,878.80/x
  3. Step 3: Cross multiply
    5,774.42x = 8,663.64 × 1,878.80
  4. Step 4: Simplify right side
    5,774.42x = 16,277,246.83
  5. Step 5: Solve for x
    x = 16,277,246.83/5,774.42
  6. Step 6: Final answer
    x = 2,818.85

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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.