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Finding the Fourth Proportional to 4,333.16, 5,980.16 and 2,419.31

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Solution

The fourth proportional to 4,333.16, 5,980.16 and 2,419.31 is: 3,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.16 : 5,980.16 = 2,419.31 : x
  2. Step 2: Convert to fraction form
    4,333.16/5,980.16 = 2,419.31/x
  3. Step 3: Cross multiply
    4,333.16x = 5,980.16 × 2,419.31
  4. Step 4: Simplify right side
    4,333.16x = 14,467,881.89
  5. Step 5: Solve for x
    x = 14,467,881.89/4,333.16
  6. Step 6: Final answer
    x = 3,338.87

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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.