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Finding the Fourth Proportional to 5,684.58, 8,528.22 and 1,788.99

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Solution

The fourth proportional to 5,684.58, 8,528.22 and 1,788.99 is: 2,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.58 : 8,528.22 = 1,788.99 : x
  2. Step 2: Convert to fraction form
    5,684.58/8,528.22 = 1,788.99/x
  3. Step 3: Cross multiply
    5,684.58x = 8,528.22 × 1,788.99
  4. Step 4: Simplify right side
    5,684.58x = 15,256,868.32
  5. Step 5: Solve for x
    x = 15,256,868.32/5,684.58
  6. Step 6: Final answer
    x = 2,683.90

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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.