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Finding the Fourth Proportional to 4,489.50, 6,735.34 and 1,411.50

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Solution

The fourth proportional to 4,489.50, 6,735.34 and 1,411.50 is: 2,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.50 : 6,735.34 = 1,411.50 : x
  2. Step 2: Convert to fraction form
    4,489.50/6,735.34 = 1,411.50/x
  3. Step 3: Cross multiply
    4,489.50x = 6,735.34 × 1,411.50
  4. Step 4: Simplify right side
    4,489.50x = 9,506,932.41
  5. Step 5: Solve for x
    x = 9,506,932.41/4,489.50
  6. Step 6: Final answer
    x = 2,117.59

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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.