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Finding the Fourth Proportional to 3,595.85, 5,384.16 and 2,113.83

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Solution

The fourth proportional to 3,595.85, 5,384.16 and 2,113.83 is: 3,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.85 : 5,384.16 = 2,113.83 : x
  2. Step 2: Convert to fraction form
    3,595.85/5,384.16 = 2,113.83/x
  3. Step 3: Cross multiply
    3,595.85x = 5,384.16 × 2,113.83
  4. Step 4: Simplify right side
    3,595.85x = 11,381,198.93
  5. Step 5: Solve for x
    x = 11,381,198.93/3,595.85
  6. Step 6: Final answer
    x = 3,165.09

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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.