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Finding the Fourth Proportional to 5,840.18, 8,762.34 and 3,646.38

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Solution

The fourth proportional to 5,840.18, 8,762.34 and 3,646.38 is: 5,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.18 : 8,762.34 = 3,646.38 : x
  2. Step 2: Convert to fraction form
    5,840.18/8,762.34 = 3,646.38/x
  3. Step 3: Cross multiply
    5,840.18x = 8,762.34 × 3,646.38
  4. Step 4: Simplify right side
    5,840.18x = 31,950,821.33
  5. Step 5: Solve for x
    x = 31,950,821.33/5,840.18
  6. Step 6: Final answer
    x = 5,470.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.