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Finding the Fourth Proportional to 5,900.49, 8,146.05 and 3,913.77

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Solution

The fourth proportional to 5,900.49, 8,146.05 and 3,913.77 is: 5,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.49 : 8,146.05 = 3,913.77 : x
  2. Step 2: Convert to fraction form
    5,900.49/8,146.05 = 3,913.77/x
  3. Step 3: Cross multiply
    5,900.49x = 8,146.05 × 3,913.77
  4. Step 4: Simplify right side
    5,900.49x = 31,881,766.11
  5. Step 5: Solve for x
    x = 31,881,766.11/5,900.49
  6. Step 6: Final answer
    x = 5,403.24

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Why These Related Problems?

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