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Finding the Fourth Proportional to 4,466.84, 6,695.22 and 2,155.64

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Solution

The fourth proportional to 4,466.84, 6,695.22 and 2,155.64 is: 3,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.84 : 6,695.22 = 2,155.64 : x
  2. Step 2: Convert to fraction form
    4,466.84/6,695.22 = 2,155.64/x
  3. Step 3: Cross multiply
    4,466.84x = 6,695.22 × 2,155.64
  4. Step 4: Simplify right side
    4,466.84x = 14,432,484.04
  5. Step 5: Solve for x
    x = 14,432,484.04/4,466.84
  6. Step 6: Final answer
    x = 3,231.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.