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Finding the Fourth Proportional to 5,216.72, 7,826.10 and 2,295.02

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Solution

The fourth proportional to 5,216.72, 7,826.10 and 2,295.02 is: 3,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.72 : 7,826.10 = 2,295.02 : x
  2. Step 2: Convert to fraction form
    5,216.72/7,826.10 = 2,295.02/x
  3. Step 3: Cross multiply
    5,216.72x = 7,826.10 × 2,295.02
  4. Step 4: Simplify right side
    5,216.72x = 17,961,056.02
  5. Step 5: Solve for x
    x = 17,961,056.02/5,216.72
  6. Step 6: Final answer
    x = 3,442.98

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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.