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Finding the Fourth Proportional to 4,176.58, 5,763.86 and 2,408.18

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Solution

The fourth proportional to 4,176.58, 5,763.86 and 2,408.18 is: 3,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.58 : 5,763.86 = 2,408.18 : x
  2. Step 2: Convert to fraction form
    4,176.58/5,763.86 = 2,408.18/x
  3. Step 3: Cross multiply
    4,176.58x = 5,763.86 × 2,408.18
  4. Step 4: Simplify right side
    4,176.58x = 13,880,412.37
  5. Step 5: Solve for x
    x = 13,880,412.37/4,176.58
  6. Step 6: Final answer
    x = 3,323.39

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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.