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Finding the Fourth Proportional to 5,003.70, 6,907.05 and 4,478.82

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Solution

The fourth proportional to 5,003.70, 6,907.05 and 4,478.82 is: 6,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.70 : 6,907.05 = 4,478.82 : x
  2. Step 2: Convert to fraction form
    5,003.70/6,907.05 = 4,478.82/x
  3. Step 3: Cross multiply
    5,003.70x = 6,907.05 × 4,478.82
  4. Step 4: Simplify right side
    5,003.70x = 30,935,433.68
  5. Step 5: Solve for x
    x = 30,935,433.68/5,003.70
  6. Step 6: Final answer
    x = 6,182.51

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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.