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Finding the Fourth Proportional to 4,978.61, 7,467.91 and 2,053.70

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Solution

The fourth proportional to 4,978.61, 7,467.91 and 2,053.70 is: 3,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.61 : 7,467.91 = 2,053.70 : x
  2. Step 2: Convert to fraction form
    4,978.61/7,467.91 = 2,053.70/x
  3. Step 3: Cross multiply
    4,978.61x = 7,467.91 × 2,053.70
  4. Step 4: Simplify right side
    4,978.61x = 15,336,846.77
  5. Step 5: Solve for x
    x = 15,336,846.77/4,978.61
  6. Step 6: Final answer
    x = 3,080.55

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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.