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Finding the Fourth Proportional to 5,647.52, 8,460.72 and 5,037.44

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Solution

The fourth proportional to 5,647.52, 8,460.72 and 5,037.44 is: 7,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.52 : 8,460.72 = 5,037.44 : x
  2. Step 2: Convert to fraction form
    5,647.52/8,460.72 = 5,037.44/x
  3. Step 3: Cross multiply
    5,647.52x = 8,460.72 × 5,037.44
  4. Step 4: Simplify right side
    5,647.52x = 42,620,369.36
  5. Step 5: Solve for x
    x = 42,620,369.36/5,647.52
  6. Step 6: Final answer
    x = 7,546.74

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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.