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Finding the Fourth Proportional to 5,224.16, 7,827.14 and 4,352.28

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Solution

The fourth proportional to 5,224.16, 7,827.14 and 4,352.28 is: 6,520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.16 : 7,827.14 = 4,352.28 : x
  2. Step 2: Convert to fraction form
    5,224.16/7,827.14 = 4,352.28/x
  3. Step 3: Cross multiply
    5,224.16x = 7,827.14 × 4,352.28
  4. Step 4: Simplify right side
    5,224.16x = 34,065,904.88
  5. Step 5: Solve for x
    x = 34,065,904.88/5,224.16
  6. Step 6: Final answer
    x = 6,520.84

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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.