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Finding the Fourth Proportional to 5,748.96, 8,623.44 and 4,012.32

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Solution

The fourth proportional to 5,748.96, 8,623.44 and 4,012.32 is: 6,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.96 : 8,623.44 = 4,012.32 : x
  2. Step 2: Convert to fraction form
    5,748.96/8,623.44 = 4,012.32/x
  3. Step 3: Cross multiply
    5,748.96x = 8,623.44 × 4,012.32
  4. Step 4: Simplify right side
    5,748.96x = 34,600,000.78
  5. Step 5: Solve for x
    x = 34,600,000.78/5,748.96
  6. Step 6: Final answer
    x = 6,018.48

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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.