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Finding the Fourth Proportional to 5,146.89, 7,717.09 and 1,859.37

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Solution

The fourth proportional to 5,146.89, 7,717.09 and 1,859.37 is: 2,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.89 : 7,717.09 = 1,859.37 : x
  2. Step 2: Convert to fraction form
    5,146.89/7,717.09 = 1,859.37/x
  3. Step 3: Cross multiply
    5,146.89x = 7,717.09 × 1,859.37
  4. Step 4: Simplify right side
    5,146.89x = 14,348,925.63
  5. Step 5: Solve for x
    x = 14,348,925.63/5,146.89
  6. Step 6: Final answer
    x = 2,787.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.