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Finding the Fourth Proportional to 5,048.50, 7,573.02 and 1,586.02

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Solution

The fourth proportional to 5,048.50, 7,573.02 and 1,586.02 is: 2,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.50 : 7,573.02 = 1,586.02 : x
  2. Step 2: Convert to fraction form
    5,048.50/7,573.02 = 1,586.02/x
  3. Step 3: Cross multiply
    5,048.50x = 7,573.02 × 1,586.02
  4. Step 4: Simplify right side
    5,048.50x = 12,010,961.18
  5. Step 5: Solve for x
    x = 12,010,961.18/5,048.50
  6. Step 6: Final answer
    x = 2,379.11

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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.