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Finding the Fourth Proportional to 5,266.72, 7,900.50 and 1,804

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Solution

The fourth proportional to 5,266.72, 7,900.50 and 1,804 is: 2,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.72 : 7,900.50 = 1,804 : x
  2. Step 2: Convert to fraction form
    5,266.72/7,900.50 = 1,804/x
  3. Step 3: Cross multiply
    5,266.72x = 7,900.50 × 1,804
  4. Step 4: Simplify right side
    5,266.72x = 14,252,502
  5. Step 5: Solve for x
    x = 14,252,502/5,266.72
  6. Step 6: Final answer
    x = 2,706.14

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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.