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Finding the Fourth Proportional to 4,333, 5,980.62 and 2,471.08

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Solution

The fourth proportional to 4,333, 5,980.62 and 2,471.08 is: 3,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333 : 5,980.62 = 2,471.08 : x
  2. Step 2: Convert to fraction form
    4,333/5,980.62 = 2,471.08/x
  3. Step 3: Cross multiply
    4,333x = 5,980.62 × 2,471.08
  4. Step 4: Simplify right side
    4,333x = 14,778,590.47
  5. Step 5: Solve for x
    x = 14,778,590.47/4,333
  6. Step 6: Final answer
    x = 3,410.71

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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.