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Finding the Fourth Proportional to 4,732.96, 6,533 and 2,963.44

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Solution

The fourth proportional to 4,732.96, 6,533 and 2,963.44 is: 4,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.96 : 6,533 = 2,963.44 : x
  2. Step 2: Convert to fraction form
    4,732.96/6,533 = 2,963.44/x
  3. Step 3: Cross multiply
    4,732.96x = 6,533 × 2,963.44
  4. Step 4: Simplify right side
    4,732.96x = 19,360,153.52
  5. Step 5: Solve for x
    x = 19,360,153.52/4,732.96
  6. Step 6: Final answer
    x = 4,090.50

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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.