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Finding the Fourth Proportional to 5,216.60, 7,827.96 and 2,097.28

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Solution

The fourth proportional to 5,216.60, 7,827.96 and 2,097.28 is: 3,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.60 : 7,827.96 = 2,097.28 : x
  2. Step 2: Convert to fraction form
    5,216.60/7,827.96 = 2,097.28/x
  3. Step 3: Cross multiply
    5,216.60x = 7,827.96 × 2,097.28
  4. Step 4: Simplify right side
    5,216.60x = 16,417,423.95
  5. Step 5: Solve for x
    x = 16,417,423.95/5,216.60
  6. Step 6: Final answer
    x = 3,147.15

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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.