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Finding the Fourth Proportional to 3,595.08, 5,392.62 and 2,055

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Solution

The fourth proportional to 3,595.08, 5,392.62 and 2,055 is: 3,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.08 : 5,392.62 = 2,055 : x
  2. Step 2: Convert to fraction form
    3,595.08/5,392.62 = 2,055/x
  3. Step 3: Cross multiply
    3,595.08x = 5,392.62 × 2,055
  4. Step 4: Simplify right side
    3,595.08x = 11,081,834.10
  5. Step 5: Solve for x
    x = 11,081,834.10/3,595.08
  6. Step 6: Final answer
    x = 3,082.50

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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.