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Finding the Fourth Proportional to 5,291.99, 7,941.64 and 1,829.24

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Solution

The fourth proportional to 5,291.99, 7,941.64 and 1,829.24 is: 2,745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.99 : 7,941.64 = 1,829.24 : x
  2. Step 2: Convert to fraction form
    5,291.99/7,941.64 = 1,829.24/x
  3. Step 3: Cross multiply
    5,291.99x = 7,941.64 × 1,829.24
  4. Step 4: Simplify right side
    5,291.99x = 14,527,180.83
  5. Step 5: Solve for x
    x = 14,527,180.83/5,291.99
  6. Step 6: Final answer
    x = 2,745.12

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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.