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Finding the Fourth Proportional to 5,658.46, 8,486.73 and 1,553.50

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Solution

The fourth proportional to 5,658.46, 8,486.73 and 1,553.50 is: 2,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.46 : 8,486.73 = 1,553.50 : x
  2. Step 2: Convert to fraction form
    5,658.46/8,486.73 = 1,553.50/x
  3. Step 3: Cross multiply
    5,658.46x = 8,486.73 × 1,553.50
  4. Step 4: Simplify right side
    5,658.46x = 13,184,135.06
  5. Step 5: Solve for x
    x = 13,184,135.06/5,658.46
  6. Step 6: Final answer
    x = 2,329.99

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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.