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Finding the Fourth Proportional to 4,241, 5,852.58 and 2,378

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Solution

The fourth proportional to 4,241, 5,852.58 and 2,378 is: 3,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241 : 5,852.58 = 2,378 : x
  2. Step 2: Convert to fraction form
    4,241/5,852.58 = 2,378/x
  3. Step 3: Cross multiply
    4,241x = 5,852.58 × 2,378
  4. Step 4: Simplify right side
    4,241x = 13,917,435.24
  5. Step 5: Solve for x
    x = 13,917,435.24/4,241
  6. Step 6: Final answer
    x = 3,281.64

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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.