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Finding the Fourth Proportional to 4,065.54, 6,098.34 and 1,468.50

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Solution

The fourth proportional to 4,065.54, 6,098.34 and 1,468.50 is: 2,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.54 : 6,098.34 = 1,468.50 : x
  2. Step 2: Convert to fraction form
    4,065.54/6,098.34 = 1,468.50/x
  3. Step 3: Cross multiply
    4,065.54x = 6,098.34 × 1,468.50
  4. Step 4: Simplify right side
    4,065.54x = 8,955,412.29
  5. Step 5: Solve for x
    x = 8,955,412.29/4,065.54
  6. Step 6: Final answer
    x = 2,202.76

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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.