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Finding the Fourth Proportional to 3,466.02, 4,783.68 and 3,255.15

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Solution

The fourth proportional to 3,466.02, 4,783.68 and 3,255.15 is: 4,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.02 : 4,783.68 = 3,255.15 : x
  2. Step 2: Convert to fraction form
    3,466.02/4,783.68 = 3,255.15/x
  3. Step 3: Cross multiply
    3,466.02x = 4,783.68 × 3,255.15
  4. Step 4: Simplify right side
    3,466.02x = 15,571,595.95
  5. Step 5: Solve for x
    x = 15,571,595.95/3,466.02
  6. Step 6: Final answer
    x = 4,492.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.