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Finding the Fourth Proportional to 5,024.50, 7,536.74 and 1,905.98

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Solution

The fourth proportional to 5,024.50, 7,536.74 and 1,905.98 is: 2,858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.50 : 7,536.74 = 1,905.98 : x
  2. Step 2: Convert to fraction form
    5,024.50/7,536.74 = 1,905.98/x
  3. Step 3: Cross multiply
    5,024.50x = 7,536.74 × 1,905.98
  4. Step 4: Simplify right side
    5,024.50x = 14,364,828.49
  5. Step 5: Solve for x
    x = 14,364,828.49/5,024.50
  6. Step 6: Final answer
    x = 2,858.96

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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.