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Finding the Fourth Proportional to 4,237, 6,355.94 and 1,159

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Solution

The fourth proportional to 4,237, 6,355.94 and 1,159 is: 1,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237 : 6,355.94 = 1,159 : x
  2. Step 2: Convert to fraction form
    4,237/6,355.94 = 1,159/x
  3. Step 3: Cross multiply
    4,237x = 6,355.94 × 1,159
  4. Step 4: Simplify right side
    4,237x = 7,366,534.46
  5. Step 5: Solve for x
    x = 7,366,534.46/4,237
  6. Step 6: Final answer
    x = 1,738.62

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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.