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Finding the Fourth Proportional to 4,852.93, 7,279.41 and 1,931.22

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Solution

The fourth proportional to 4,852.93, 7,279.41 and 1,931.22 is: 2,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.93 : 7,279.41 = 1,931.22 : x
  2. Step 2: Convert to fraction form
    4,852.93/7,279.41 = 1,931.22/x
  3. Step 3: Cross multiply
    4,852.93x = 7,279.41 × 1,931.22
  4. Step 4: Simplify right side
    4,852.93x = 14,058,142.18
  5. Step 5: Solve for x
    x = 14,058,142.18/4,852.93
  6. Step 6: Final answer
    x = 2,896.84

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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.