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Finding the Fourth Proportional to 4,008.50, 6,011.95 and 1,411.54

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Solution

The fourth proportional to 4,008.50, 6,011.95 and 1,411.54 is: 2,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,008.50 : 6,011.95 = 1,411.54 : x
  2. Step 2: Convert to fraction form
    4,008.50/6,011.95 = 1,411.54/x
  3. Step 3: Cross multiply
    4,008.50x = 6,011.95 × 1,411.54
  4. Step 4: Simplify right side
    4,008.50x = 8,486,107.90
  5. Step 5: Solve for x
    x = 8,486,107.90/4,008.50
  6. Step 6: Final answer
    x = 2,117.03

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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.