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Finding the Fourth Proportional to 5,903.69, 8,142.12 and 3,545.37

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Solution

The fourth proportional to 5,903.69, 8,142.12 and 3,545.37 is: 4,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.69 : 8,142.12 = 3,545.37 : x
  2. Step 2: Convert to fraction form
    5,903.69/8,142.12 = 3,545.37/x
  3. Step 3: Cross multiply
    5,903.69x = 8,142.12 × 3,545.37
  4. Step 4: Simplify right side
    5,903.69x = 28,866,827.98
  5. Step 5: Solve for x
    x = 28,866,827.98/5,903.69
  6. Step 6: Final answer
    x = 4,889.63

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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.