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Finding the Fourth Proportional to 2,824.93, 4,216.74 and 2,616.47

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Solution

The fourth proportional to 2,824.93, 4,216.74 and 2,616.47 is: 3,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.93 : 4,216.74 = 2,616.47 : x
  2. Step 2: Convert to fraction form
    2,824.93/4,216.74 = 2,616.47/x
  3. Step 3: Cross multiply
    2,824.93x = 4,216.74 × 2,616.47
  4. Step 4: Simplify right side
    2,824.93x = 11,032,973.34
  5. Step 5: Solve for x
    x = 11,032,973.34/2,824.93
  6. Step 6: Final answer
    x = 3,905.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.