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Finding the Fourth Proportional to 5,602.39, 7,730.82 and 3,084.10

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Solution

The fourth proportional to 5,602.39, 7,730.82 and 3,084.10 is: 4,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.39 : 7,730.82 = 3,084.10 : x
  2. Step 2: Convert to fraction form
    5,602.39/7,730.82 = 3,084.10/x
  3. Step 3: Cross multiply
    5,602.39x = 7,730.82 × 3,084.10
  4. Step 4: Simplify right side
    5,602.39x = 23,842,602.63
  5. Step 5: Solve for x
    x = 23,842,602.63/5,602.39
  6. Step 6: Final answer
    x = 4,255.79

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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.