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Finding the Fourth Proportional to 3,599.88, 4,967.88 and 2,028

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Solution

The fourth proportional to 3,599.88, 4,967.88 and 2,028 is: 2,798.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.88 : 4,967.88 = 2,028 : x
  2. Step 2: Convert to fraction form
    3,599.88/4,967.88 = 2,028/x
  3. Step 3: Cross multiply
    3,599.88x = 4,967.88 × 2,028
  4. Step 4: Simplify right side
    3,599.88x = 10,074,860.64
  5. Step 5: Solve for x
    x = 10,074,860.64/3,599.88
  6. Step 6: Final answer
    x = 2,798.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.