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Finding the Fourth Proportional to 4,812.94, 7,216.71 and 2,342.50

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Solution

The fourth proportional to 4,812.94, 7,216.71 and 2,342.50 is: 3,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.94 : 7,216.71 = 2,342.50 : x
  2. Step 2: Convert to fraction form
    4,812.94/7,216.71 = 2,342.50/x
  3. Step 3: Cross multiply
    4,812.94x = 7,216.71 × 2,342.50
  4. Step 4: Simplify right side
    4,812.94x = 16,905,143.18
  5. Step 5: Solve for x
    x = 16,905,143.18/4,812.94
  6. Step 6: Final answer
    x = 3,512.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.