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Finding the Fourth Proportional to 5,216.16, 7,827.27 and 3,140.16

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Solution

The fourth proportional to 5,216.16, 7,827.27 and 3,140.16 is: 4,712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.16 : 7,827.27 = 3,140.16 : x
  2. Step 2: Convert to fraction form
    5,216.16/7,827.27 = 3,140.16/x
  3. Step 3: Cross multiply
    5,216.16x = 7,827.27 × 3,140.16
  4. Step 4: Simplify right side
    5,216.16x = 24,578,880.16
  5. Step 5: Solve for x
    x = 24,578,880.16/5,216.16
  6. Step 6: Final answer
    x = 4,712.06

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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.