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Finding the Fourth Proportional to 4,271.47, 5,894.66 and 2,408.47

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Solution

The fourth proportional to 4,271.47, 5,894.66 and 2,408.47 is: 3,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.47 : 5,894.66 = 2,408.47 : x
  2. Step 2: Convert to fraction form
    4,271.47/5,894.66 = 2,408.47/x
  3. Step 3: Cross multiply
    4,271.47x = 5,894.66 × 2,408.47
  4. Step 4: Simplify right side
    4,271.47x = 14,197,111.77
  5. Step 5: Solve for x
    x = 14,197,111.77/4,271.47
  6. Step 6: Final answer
    x = 3,323.71

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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.