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Finding the Fourth Proportional to 5,981.58, 8,964.14 and 3,053.74

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Solution

The fourth proportional to 5,981.58, 8,964.14 and 3,053.74 is: 4,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.58 : 8,964.14 = 3,053.74 : x
  2. Step 2: Convert to fraction form
    5,981.58/8,964.14 = 3,053.74/x
  3. Step 3: Cross multiply
    5,981.58x = 8,964.14 × 3,053.74
  4. Step 4: Simplify right side
    5,981.58x = 27,374,152.88
  5. Step 5: Solve for x
    x = 27,374,152.88/5,981.58
  6. Step 6: Final answer
    x = 4,576.41

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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.