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Finding the Fourth Proportional to 6,069.90, 8,375.58 and 3,416.80

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Solution

The fourth proportional to 6,069.90, 8,375.58 and 3,416.80 is: 4,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.90 : 8,375.58 = 3,416.80 : x
  2. Step 2: Convert to fraction form
    6,069.90/8,375.58 = 3,416.80/x
  3. Step 3: Cross multiply
    6,069.90x = 8,375.58 × 3,416.80
  4. Step 4: Simplify right side
    6,069.90x = 28,617,681.74
  5. Step 5: Solve for x
    x = 28,617,681.74/6,069.90
  6. Step 6: Final answer
    x = 4,714.69

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