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Finding the Fourth Proportional to 5,146.34, 7,717.90 and 1,859

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Solution

The fourth proportional to 5,146.34, 7,717.90 and 1,859 is: 2,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.34 : 7,717.90 = 1,859 : x
  2. Step 2: Convert to fraction form
    5,146.34/7,717.90 = 1,859/x
  3. Step 3: Cross multiply
    5,146.34x = 7,717.90 × 1,859
  4. Step 4: Simplify right side
    5,146.34x = 14,347,576.10
  5. Step 5: Solve for x
    x = 14,347,576.10/5,146.34
  6. Step 6: Final answer
    x = 2,787.92

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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.