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Finding the Fourth Proportional to 4,532.94, 6,800.16 and 1,412.21

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Solution

The fourth proportional to 4,532.94, 6,800.16 and 1,412.21 is: 2,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.94 : 6,800.16 = 1,412.21 : x
  2. Step 2: Convert to fraction form
    4,532.94/6,800.16 = 1,412.21/x
  3. Step 3: Cross multiply
    4,532.94x = 6,800.16 × 1,412.21
  4. Step 4: Simplify right side
    4,532.94x = 9,603,253.95
  5. Step 5: Solve for x
    x = 9,603,253.95/4,532.94
  6. Step 6: Final answer
    x = 2,118.55

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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.