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Finding the Fourth Proportional to 3,384.56, 4,676.65 and 2,605.34

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Solution

The fourth proportional to 3,384.56, 4,676.65 and 2,605.34 is: 3,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.56 : 4,676.65 = 2,605.34 : x
  2. Step 2: Convert to fraction form
    3,384.56/4,676.65 = 2,605.34/x
  3. Step 3: Cross multiply
    3,384.56x = 4,676.65 × 2,605.34
  4. Step 4: Simplify right side
    3,384.56x = 12,184,263.31
  5. Step 5: Solve for x
    x = 12,184,263.31/3,384.56
  6. Step 6: Final answer
    x = 3,599.95

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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.