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Finding the Fourth Proportional to 4,467.60, 6,698.64 and 3,920.88

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Solution

The fourth proportional to 4,467.60, 6,698.64 and 3,920.88 is: 5,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.60 : 6,698.64 = 3,920.88 : x
  2. Step 2: Convert to fraction form
    4,467.60/6,698.64 = 3,920.88/x
  3. Step 3: Cross multiply
    4,467.60x = 6,698.64 × 3,920.88
  4. Step 4: Simplify right side
    4,467.60x = 26,264,563.60
  5. Step 5: Solve for x
    x = 26,264,563.60/4,467.60
  6. Step 6: Final answer
    x = 5,878.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.