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Finding the Fourth Proportional to 5,636.94, 7,780.23 and 3,543.90

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Solution

The fourth proportional to 5,636.94, 7,780.23 and 3,543.90 is: 4,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.94 : 7,780.23 = 3,543.90 : x
  2. Step 2: Convert to fraction form
    5,636.94/7,780.23 = 3,543.90/x
  3. Step 3: Cross multiply
    5,636.94x = 7,780.23 × 3,543.90
  4. Step 4: Simplify right side
    5,636.94x = 27,572,357.10
  5. Step 5: Solve for x
    x = 27,572,357.10/5,636.94
  6. Step 6: Final answer
    x = 4,891.37

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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.