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Finding the Fourth Proportional to 4,889.94, 6,746.35 and 3,212.25

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Solution

The fourth proportional to 4,889.94, 6,746.35 and 3,212.25 is: 4,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.94 : 6,746.35 = 3,212.25 : x
  2. Step 2: Convert to fraction form
    4,889.94/6,746.35 = 3,212.25/x
  3. Step 3: Cross multiply
    4,889.94x = 6,746.35 × 3,212.25
  4. Step 4: Simplify right side
    4,889.94x = 21,670,962.79
  5. Step 5: Solve for x
    x = 21,670,962.79/4,889.94
  6. Step 6: Final answer
    x = 4,431.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.