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Finding the Fourth Proportional to 3,658.32, 5,488.83 and 1,468.58

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Solution

The fourth proportional to 3,658.32, 5,488.83 and 1,468.58 is: 2,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.32 : 5,488.83 = 1,468.58 : x
  2. Step 2: Convert to fraction form
    3,658.32/5,488.83 = 1,468.58/x
  3. Step 3: Cross multiply
    3,658.32x = 5,488.83 × 1,468.58
  4. Step 4: Simplify right side
    3,658.32x = 8,060,758.52
  5. Step 5: Solve for x
    x = 8,060,758.52/3,658.32
  6. Step 6: Final answer
    x = 2,203.40

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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.