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Finding the Fourth Proportional to 4,271.69, 5,894.93 and 2,408.69

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Solution

The fourth proportional to 4,271.69, 5,894.93 and 2,408.69 is: 3,323.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.69 : 5,894.93 = 2,408.69 : x
  2. Step 2: Convert to fraction form
    4,271.69/5,894.93 = 2,408.69/x
  3. Step 3: Cross multiply
    4,271.69x = 5,894.93 × 2,408.69
  4. Step 4: Simplify right side
    4,271.69x = 14,199,058.94
  5. Step 5: Solve for x
    x = 14,199,058.94/4,271.69
  6. Step 6: Final answer
    x = 3,323.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.