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Finding the Fourth Proportional to 4,731.54, 7,089.21 and 2,533.74

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Solution

The fourth proportional to 4,731.54, 7,089.21 and 2,533.74 is: 3,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.54 : 7,089.21 = 2,533.74 : x
  2. Step 2: Convert to fraction form
    4,731.54/7,089.21 = 2,533.74/x
  3. Step 3: Cross multiply
    4,731.54x = 7,089.21 × 2,533.74
  4. Step 4: Simplify right side
    4,731.54x = 17,962,214.95
  5. Step 5: Solve for x
    x = 17,962,214.95/4,731.54
  6. Step 6: Final answer
    x = 3,796.27

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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.