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Finding the Fourth Proportional to 3,046.16, 4,571.07 and 1,291.07

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Solution

The fourth proportional to 3,046.16, 4,571.07 and 1,291.07 is: 1,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.16 : 4,571.07 = 1,291.07 : x
  2. Step 2: Convert to fraction form
    3,046.16/4,571.07 = 1,291.07/x
  3. Step 3: Cross multiply
    3,046.16x = 4,571.07 × 1,291.07
  4. Step 4: Simplify right side
    3,046.16x = 5,901,571.34
  5. Step 5: Solve for x
    x = 5,901,571.34/3,046.16
  6. Step 6: Final answer
    x = 1,937.38

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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.