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Finding the Fourth Proportional to 3,652.42, 5,483.33 and 3,135.74

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Solution

The fourth proportional to 3,652.42, 5,483.33 and 3,135.74 is: 4,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.42 : 5,483.33 = 3,135.74 : x
  2. Step 2: Convert to fraction form
    3,652.42/5,483.33 = 3,135.74/x
  3. Step 3: Cross multiply
    3,652.42x = 5,483.33 × 3,135.74
  4. Step 4: Simplify right side
    3,652.42x = 17,194,297.21
  5. Step 5: Solve for x
    x = 17,194,297.21/3,652.42
  6. Step 6: Final answer
    x = 4,707.65

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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.