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Finding the Fourth Proportional to 4,466.08, 6,700.08 and 1,504.82

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Solution

The fourth proportional to 4,466.08, 6,700.08 and 1,504.82 is: 2,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.08 : 6,700.08 = 1,504.82 : x
  2. Step 2: Convert to fraction form
    4,466.08/6,700.08 = 1,504.82/x
  3. Step 3: Cross multiply
    4,466.08x = 6,700.08 × 1,504.82
  4. Step 4: Simplify right side
    4,466.08x = 10,082,373.36
  5. Step 5: Solve for x
    x = 10,082,373.36/4,466.08
  6. Step 6: Final answer
    x = 2,257.55

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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.