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Finding the Fourth Proportional to 5,602.49, 7,731.62 and 3,084.86

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Solution

The fourth proportional to 5,602.49, 7,731.62 and 3,084.86 is: 4,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.49 : 7,731.62 = 3,084.86 : x
  2. Step 2: Convert to fraction form
    5,602.49/7,731.62 = 3,084.86/x
  3. Step 3: Cross multiply
    5,602.49x = 7,731.62 × 3,084.86
  4. Step 4: Simplify right side
    5,602.49x = 23,850,965.27
  5. Step 5: Solve for x
    x = 23,850,965.27/5,602.49
  6. Step 6: Final answer
    x = 4,257.21

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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.