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Finding the Fourth Proportional to 8,525.58, 12,788.97 and 2,978.29

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Solution

The fourth proportional to 8,525.58, 12,788.97 and 2,978.29 is: 4,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.58 : 12,788.97 = 2,978.29 : x
  2. Step 2: Convert to fraction form
    8,525.58/12,788.97 = 2,978.29/x
  3. Step 3: Cross multiply
    8,525.58x = 12,788.97 × 2,978.29
  4. Step 4: Simplify right side
    8,525.58x = 38,089,261.46
  5. Step 5: Solve for x
    x = 38,089,261.46/8,525.58
  6. Step 6: Final answer
    x = 4,467.64

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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.