Home / 5,042-6,957.96-2,946.14

Finding the Fourth Proportional to 5,042, 6,957.96 and 2,946.14

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Solution

The fourth proportional to 5,042, 6,957.96 and 2,946.14 is: 4,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042 : 6,957.96 = 2,946.14 : x
  2. Step 2: Convert to fraction form
    5,042/6,957.96 = 2,946.14/x
  3. Step 3: Cross multiply
    5,042x = 6,957.96 × 2,946.14
  4. Step 4: Simplify right side
    5,042x = 20,499,124.27
  5. Step 5: Solve for x
    x = 20,499,124.27/5,042
  6. Step 6: Final answer
    x = 4,065.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.