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Finding the Fourth Proportional to 5,684.64, 8,524.08 and 2,604

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Solution

The fourth proportional to 5,684.64, 8,524.08 and 2,604 is: 3,904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.64 : 8,524.08 = 2,604 : x
  2. Step 2: Convert to fraction form
    5,684.64/8,524.08 = 2,604/x
  3. Step 3: Cross multiply
    5,684.64x = 8,524.08 × 2,604
  4. Step 4: Simplify right side
    5,684.64x = 22,196,704.32
  5. Step 5: Solve for x
    x = 22,196,704.32/5,684.64
  6. Step 6: Final answer
    x = 3,904.68

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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.