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Finding the Fourth Proportional to 3,658.34, 5,486.19 and 1,192.50

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Solution

The fourth proportional to 3,658.34, 5,486.19 and 1,192.50 is: 1,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.34 : 5,486.19 = 1,192.50 : x
  2. Step 2: Convert to fraction form
    3,658.34/5,486.19 = 1,192.50/x
  3. Step 3: Cross multiply
    3,658.34x = 5,486.19 × 1,192.50
  4. Step 4: Simplify right side
    3,658.34x = 6,542,281.58
  5. Step 5: Solve for x
    x = 6,542,281.58/3,658.34
  6. Step 6: Final answer
    x = 1,788.32

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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.