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Finding the Fourth Proportional to 5,900.82, 8,851.74 and 1,518.24

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Solution

The fourth proportional to 5,900.82, 8,851.74 and 1,518.24 is: 2,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.82 : 8,851.74 = 1,518.24 : x
  2. Step 2: Convert to fraction form
    5,900.82/8,851.74 = 1,518.24/x
  3. Step 3: Cross multiply
    5,900.82x = 8,851.74 × 1,518.24
  4. Step 4: Simplify right side
    5,900.82x = 13,439,065.74
  5. Step 5: Solve for x
    x = 13,439,065.74/5,900.82
  6. Step 6: Final answer
    x = 2,277.49

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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.