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Finding the Fourth Proportional to 3,005.40, 4,495.95 and 2,713.80

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Solution

The fourth proportional to 3,005.40, 4,495.95 and 2,713.80 is: 4,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.40 : 4,495.95 = 2,713.80 : x
  2. Step 2: Convert to fraction form
    3,005.40/4,495.95 = 2,713.80/x
  3. Step 3: Cross multiply
    3,005.40x = 4,495.95 × 2,713.80
  4. Step 4: Simplify right side
    3,005.40x = 12,201,109.11
  5. Step 5: Solve for x
    x = 12,201,109.11/3,005.40
  6. Step 6: Final answer
    x = 4,059.73

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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.