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Finding the Fourth Proportional to 5,602.04, 7,730.40 and 3,084.20

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Solution

The fourth proportional to 5,602.04, 7,730.40 and 3,084.20 is: 4,255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.04 : 7,730.40 = 3,084.20 : x
  2. Step 2: Convert to fraction form
    5,602.04/7,730.40 = 3,084.20/x
  3. Step 3: Cross multiply
    5,602.04x = 7,730.40 × 3,084.20
  4. Step 4: Simplify right side
    5,602.04x = 23,842,099.68
  5. Step 5: Solve for x
    x = 23,842,099.68/5,602.04
  6. Step 6: Final answer
    x = 4,255.97

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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.