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Finding the Fourth Proportional to 3,595.44, 5,364.29 and 3,200.76

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Solution

The fourth proportional to 3,595.44, 5,364.29 and 3,200.76 is: 4,775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.44 : 5,364.29 = 3,200.76 : x
  2. Step 2: Convert to fraction form
    3,595.44/5,364.29 = 3,200.76/x
  3. Step 3: Cross multiply
    3,595.44x = 5,364.29 × 3,200.76
  4. Step 4: Simplify right side
    3,595.44x = 17,169,788.86
  5. Step 5: Solve for x
    x = 17,169,788.86/3,595.44
  6. Step 6: Final answer
    x = 4,775.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.