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Finding the Fourth Proportional to 5,266.34, 7,900.44 and 1,802.78

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Solution

The fourth proportional to 5,266.34, 7,900.44 and 1,802.78 is: 2,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.34 : 7,900.44 = 1,802.78 : x
  2. Step 2: Convert to fraction form
    5,266.34/7,900.44 = 1,802.78/x
  3. Step 3: Cross multiply
    5,266.34x = 7,900.44 × 1,802.78
  4. Step 4: Simplify right side
    5,266.34x = 14,242,755.22
  5. Step 5: Solve for x
    x = 14,242,755.22/5,266.34
  6. Step 6: Final answer
    x = 2,704.49

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1.5x scale

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.