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Finding the Fourth Proportional to 3,658.51, 5,488.64 and 1,193.34

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Solution

The fourth proportional to 3,658.51, 5,488.64 and 1,193.34 is: 1,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.51 : 5,488.64 = 1,193.34 : x
  2. Step 2: Convert to fraction form
    3,658.51/5,488.64 = 1,193.34/x
  3. Step 3: Cross multiply
    3,658.51x = 5,488.64 × 1,193.34
  4. Step 4: Simplify right side
    3,658.51x = 6,549,789.20
  5. Step 5: Solve for x
    x = 6,549,789.20/3,658.51
  6. Step 6: Final answer
    x = 1,790.29

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1.5x scale

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.