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Finding the Fourth Proportional to 5,289.89, 7,933.21 and 3,656.93

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Solution

The fourth proportional to 5,289.89, 7,933.21 and 3,656.93 is: 5,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.89 : 7,933.21 = 3,656.93 : x
  2. Step 2: Convert to fraction form
    5,289.89/7,933.21 = 3,656.93/x
  3. Step 3: Cross multiply
    5,289.89x = 7,933.21 × 3,656.93
  4. Step 4: Simplify right side
    5,289.89x = 29,011,193.65
  5. Step 5: Solve for x
    x = 29,011,193.65/5,289.89
  6. Step 6: Final answer
    x = 5,484.27

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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.