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Finding the Fourth Proportional to 5,216.65, 7,823.59 and 2,256.12

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Solution

The fourth proportional to 5,216.65, 7,823.59 and 2,256.12 is: 3,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.65 : 7,823.59 = 2,256.12 : x
  2. Step 2: Convert to fraction form
    5,216.65/7,823.59 = 2,256.12/x
  3. Step 3: Cross multiply
    5,216.65x = 7,823.59 × 2,256.12
  4. Step 4: Simplify right side
    5,216.65x = 17,650,957.87
  5. Step 5: Solve for x
    x = 17,650,957.87/5,216.65
  6. Step 6: Final answer
    x = 3,383.58

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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.