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Finding the Fourth Proportional to 5,309.06, 7,325.70 and 3,070.49

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Solution

The fourth proportional to 5,309.06, 7,325.70 and 3,070.49 is: 4,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.06 : 7,325.70 = 3,070.49 : x
  2. Step 2: Convert to fraction form
    5,309.06/7,325.70 = 3,070.49/x
  3. Step 3: Cross multiply
    5,309.06x = 7,325.70 × 3,070.49
  4. Step 4: Simplify right side
    5,309.06x = 22,493,488.59
  5. Step 5: Solve for x
    x = 22,493,488.59/5,309.06
  6. Step 6: Final answer
    x = 4,236.81

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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.