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Finding the Fourth Proportional to 5,840.76, 8,764.48 and 2,142.50

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Solution

The fourth proportional to 5,840.76, 8,764.48 and 2,142.50 is: 3,214.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.76 : 8,764.48 = 2,142.50 : x
  2. Step 2: Convert to fraction form
    5,840.76/8,764.48 = 2,142.50/x
  3. Step 3: Cross multiply
    5,840.76x = 8,764.48 × 2,142.50
  4. Step 4: Simplify right side
    5,840.76x = 18,777,898.40
  5. Step 5: Solve for x
    x = 18,777,898.40/5,840.76
  6. Step 6: Final answer
    x = 3,214.98

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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.