Home / 4,047.46-6,071.76-1,706

Finding the Fourth Proportional to 4,047.46, 6,071.76 and 1,706

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Solution

The fourth proportional to 4,047.46, 6,071.76 and 1,706 is: 2,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.46 : 6,071.76 = 1,706 : x
  2. Step 2: Convert to fraction form
    4,047.46/6,071.76 = 1,706/x
  3. Step 3: Cross multiply
    4,047.46x = 6,071.76 × 1,706
  4. Step 4: Simplify right side
    4,047.46x = 10,358,422.56
  5. Step 5: Solve for x
    x = 10,358,422.56/4,047.46
  6. Step 6: Final answer
    x = 2,559.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.