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Finding the Fourth Proportional to 3,499.99, 4,829.64 and 2,838.46

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Solution

The fourth proportional to 3,499.99, 4,829.64 and 2,838.46 is: 3,916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.99 : 4,829.64 = 2,838.46 : x
  2. Step 2: Convert to fraction form
    3,499.99/4,829.64 = 2,838.46/x
  3. Step 3: Cross multiply
    3,499.99x = 4,829.64 × 2,838.46
  4. Step 4: Simplify right side
    3,499.99x = 13,708,739.95
  5. Step 5: Solve for x
    x = 13,708,739.95/3,499.99
  6. Step 6: Final answer
    x = 3,916.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.