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Finding the Fourth Proportional to 3,596.44, 5,396.84 and 1,953.76

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Solution

The fourth proportional to 3,596.44, 5,396.84 and 1,953.76 is: 2,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.44 : 5,396.84 = 1,953.76 : x
  2. Step 2: Convert to fraction form
    3,596.44/5,396.84 = 1,953.76/x
  3. Step 3: Cross multiply
    3,596.44x = 5,396.84 × 1,953.76
  4. Step 4: Simplify right side
    3,596.44x = 10,544,130.12
  5. Step 5: Solve for x
    x = 10,544,130.12/3,596.44
  6. Step 6: Final answer
    x = 2,931.82

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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.