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Finding the Fourth Proportional to 4,047.23, 6,071.54 and 2,074.17

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Solution

The fourth proportional to 4,047.23, 6,071.54 and 2,074.17 is: 3,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.23 : 6,071.54 = 2,074.17 : x
  2. Step 2: Convert to fraction form
    4,047.23/6,071.54 = 2,074.17/x
  3. Step 3: Cross multiply
    4,047.23x = 6,071.54 × 2,074.17
  4. Step 4: Simplify right side
    4,047.23x = 12,593,406.12
  5. Step 5: Solve for x
    x = 12,593,406.12/4,047.23
  6. Step 6: Final answer
    x = 3,111.61

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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.