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Finding the Fourth Proportional to 5,658.78, 8,477.14 and 3,705.06

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Solution

The fourth proportional to 5,658.78, 8,477.14 and 3,705.06 is: 5,550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.78 : 8,477.14 = 3,705.06 : x
  2. Step 2: Convert to fraction form
    5,658.78/8,477.14 = 3,705.06/x
  3. Step 3: Cross multiply
    5,658.78x = 8,477.14 × 3,705.06
  4. Step 4: Simplify right side
    5,658.78x = 31,408,312.33
  5. Step 5: Solve for x
    x = 31,408,312.33/5,658.78
  6. Step 6: Final answer
    x = 5,550.37

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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.