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Finding the Fourth Proportional to 4,574.12, 6,855.02 and 2,103.50

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Solution

The fourth proportional to 4,574.12, 6,855.02 and 2,103.50 is: 3,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.12 : 6,855.02 = 2,103.50 : x
  2. Step 2: Convert to fraction form
    4,574.12/6,855.02 = 2,103.50/x
  3. Step 3: Cross multiply
    4,574.12x = 6,855.02 × 2,103.50
  4. Step 4: Simplify right side
    4,574.12x = 14,419,534.57
  5. Step 5: Solve for x
    x = 14,419,534.57/4,574.12
  6. Step 6: Final answer
    x = 3,152.42

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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.