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Finding the Fourth Proportional to 5,396.16, 8,094.72 and 2,798.40

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Solution

The fourth proportional to 5,396.16, 8,094.72 and 2,798.40 is: 4,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.16 : 8,094.72 = 2,798.40 : x
  2. Step 2: Convert to fraction form
    5,396.16/8,094.72 = 2,798.40/x
  3. Step 3: Cross multiply
    5,396.16x = 8,094.72 × 2,798.40
  4. Step 4: Simplify right side
    5,396.16x = 22,652,264.45
  5. Step 5: Solve for x
    x = 22,652,264.45/5,396.16
  6. Step 6: Final answer
    x = 4,197.85

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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.