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Finding the Fourth Proportional to 3,774.67, 5,209.58 and 2,359.80

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Solution

The fourth proportional to 3,774.67, 5,209.58 and 2,359.80 is: 3,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.67 : 5,209.58 = 2,359.80 : x
  2. Step 2: Convert to fraction form
    3,774.67/5,209.58 = 2,359.80/x
  3. Step 3: Cross multiply
    3,774.67x = 5,209.58 × 2,359.80
  4. Step 4: Simplify right side
    3,774.67x = 12,293,572.78
  5. Step 5: Solve for x
    x = 12,293,572.78/3,774.67
  6. Step 6: Final answer
    x = 3,256.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.