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Finding the Fourth Proportional to 5,828.16, 8,748.72 and 5,737.44

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Solution

The fourth proportional to 5,828.16, 8,748.72 and 5,737.44 is: 8,612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.16 : 8,748.72 = 5,737.44 : x
  2. Step 2: Convert to fraction form
    5,828.16/8,748.72 = 5,737.44/x
  3. Step 3: Cross multiply
    5,828.16x = 8,748.72 × 5,737.44
  4. Step 4: Simplify right side
    5,828.16x = 50,195,256.08
  5. Step 5: Solve for x
    x = 50,195,256.08/5,828.16
  6. Step 6: Final answer
    x = 8,612.54

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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.