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Finding the Fourth Proportional to 5,745.06, 8,578.76 and 5,037.03

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Solution

The fourth proportional to 5,745.06, 8,578.76 and 5,037.03 is: 7,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.06 : 8,578.76 = 5,037.03 : x
  2. Step 2: Convert to fraction form
    5,745.06/8,578.76 = 5,037.03/x
  3. Step 3: Cross multiply
    5,745.06x = 8,578.76 × 5,037.03
  4. Step 4: Simplify right side
    5,745.06x = 43,211,446.30
  5. Step 5: Solve for x
    x = 43,211,446.30/5,745.06
  6. Step 6: Final answer
    x = 7,521.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.