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Finding the Fourth Proportional to 5,748.70, 8,623.05 and 2,826.40

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Solution

The fourth proportional to 5,748.70, 8,623.05 and 2,826.40 is: 4,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.70 : 8,623.05 = 2,826.40 : x
  2. Step 2: Convert to fraction form
    5,748.70/8,623.05 = 2,826.40/x
  3. Step 3: Cross multiply
    5,748.70x = 8,623.05 × 2,826.40
  4. Step 4: Simplify right side
    5,748.70x = 24,372,188.52
  5. Step 5: Solve for x
    x = 24,372,188.52/5,748.70
  6. Step 6: Final answer
    x = 4,239.60

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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.