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Finding the Fourth Proportional to 5,678.60, 8,524.30 and 4,385.80

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Solution

The fourth proportional to 5,678.60, 8,524.30 and 4,385.80 is: 6,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.60 : 8,524.30 = 4,385.80 : x
  2. Step 2: Convert to fraction form
    5,678.60/8,524.30 = 4,385.80/x
  3. Step 3: Cross multiply
    5,678.60x = 8,524.30 × 4,385.80
  4. Step 4: Simplify right side
    5,678.60x = 37,385,874.94
  5. Step 5: Solve for x
    x = 37,385,874.94/5,678.60
  6. Step 6: Final answer
    x = 6,583.64

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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.