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Finding the Fourth Proportional to 4,130, 5,699.42 and 2,267

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Solution

The fourth proportional to 4,130, 5,699.42 and 2,267 is: 3,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130 : 5,699.42 = 2,267 : x
  2. Step 2: Convert to fraction form
    4,130/5,699.42 = 2,267/x
  3. Step 3: Cross multiply
    4,130x = 5,699.42 × 2,267
  4. Step 4: Simplify right side
    4,130x = 12,920,585.14
  5. Step 5: Solve for x
    x = 12,920,585.14/4,130
  6. Step 6: Final answer
    x = 3,128.47

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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.