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Finding the Fourth Proportional to 4,047.57, 6,071.76 and 1,274.13

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Solution

The fourth proportional to 4,047.57, 6,071.76 and 1,274.13 is: 1,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.57 : 6,071.76 = 1,274.13 : x
  2. Step 2: Convert to fraction form
    4,047.57/6,071.76 = 1,274.13/x
  3. Step 3: Cross multiply
    4,047.57x = 6,071.76 × 1,274.13
  4. Step 4: Simplify right side
    4,047.57x = 7,736,211.57
  5. Step 5: Solve for x
    x = 7,736,211.57/4,047.57
  6. Step 6: Final answer
    x = 1,911.32

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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.