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Finding the Fourth Proportional to 5,946.16, 8,920.14 and 2,049.64

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Solution

The fourth proportional to 5,946.16, 8,920.14 and 2,049.64 is: 3,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.16 : 8,920.14 = 2,049.64 : x
  2. Step 2: Convert to fraction form
    5,946.16/8,920.14 = 2,049.64/x
  3. Step 3: Cross multiply
    5,946.16x = 8,920.14 × 2,049.64
  4. Step 4: Simplify right side
    5,946.16x = 18,283,075.75
  5. Step 5: Solve for x
    x = 18,283,075.75/5,946.16
  6. Step 6: Final answer
    x = 3,074.77

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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.