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Finding the Fourth Proportional to 3,788.02, 5,684.48 and 1,596.76

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Solution

The fourth proportional to 3,788.02, 5,684.48 and 1,596.76 is: 2,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.02 : 5,684.48 = 1,596.76 : x
  2. Step 2: Convert to fraction form
    3,788.02/5,684.48 = 1,596.76/x
  3. Step 3: Cross multiply
    3,788.02x = 5,684.48 × 1,596.76
  4. Step 4: Simplify right side
    3,788.02x = 9,076,742.30
  5. Step 5: Solve for x
    x = 9,076,742.30/3,788.02
  6. Step 6: Final answer
    x = 2,396.17

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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.