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Finding the Fourth Proportional to 5,283.81, 7,927.03 and 1,586.11

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Solution

The fourth proportional to 5,283.81, 7,927.03 and 1,586.11 is: 2,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.81 : 7,927.03 = 1,586.11 : x
  2. Step 2: Convert to fraction form
    5,283.81/7,927.03 = 1,586.11/x
  3. Step 3: Cross multiply
    5,283.81x = 7,927.03 × 1,586.11
  4. Step 4: Simplify right side
    5,283.81x = 12,573,141.55
  5. Step 5: Solve for x
    x = 12,573,141.55/5,283.81
  6. Step 6: Final answer
    x = 2,379.56

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Why These Related Problems?

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