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Finding the Fourth Proportional to 5,602.09, 7,730.82 and 3,084.14

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Solution

The fourth proportional to 5,602.09, 7,730.82 and 3,084.14 is: 4,256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.09 : 7,730.82 = 3,084.14 : x
  2. Step 2: Convert to fraction form
    5,602.09/7,730.82 = 3,084.14/x
  3. Step 3: Cross multiply
    5,602.09x = 7,730.82 × 3,084.14
  4. Step 4: Simplify right side
    5,602.09x = 23,842,958.15
  5. Step 5: Solve for x
    x = 23,842,958.15/5,602.09
  6. Step 6: Final answer
    x = 4,256.09

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