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Finding the Fourth Proportional to 4,047.60, 6,071.40 and 2,079.30

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Solution

The fourth proportional to 4,047.60, 6,071.40 and 2,079.30 is: 3,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.60 : 6,071.40 = 2,079.30 : x
  2. Step 2: Convert to fraction form
    4,047.60/6,071.40 = 2,079.30/x
  3. Step 3: Cross multiply
    4,047.60x = 6,071.40 × 2,079.30
  4. Step 4: Simplify right side
    4,047.60x = 12,624,262.02
  5. Step 5: Solve for x
    x = 12,624,262.02/4,047.60
  6. Step 6: Final answer
    x = 3,118.95

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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.