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Finding the Fourth Proportional to 5,949.17, 8,925.27 and 4,896.64

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Solution

The fourth proportional to 5,949.17, 8,925.27 and 4,896.64 is: 7,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.17 : 8,925.27 = 4,896.64 : x
  2. Step 2: Convert to fraction form
    5,949.17/8,925.27 = 4,896.64/x
  3. Step 3: Cross multiply
    5,949.17x = 8,925.27 × 4,896.64
  4. Step 4: Simplify right side
    5,949.17x = 43,703,834.09
  5. Step 5: Solve for x
    x = 43,703,834.09/5,949.17
  6. Step 6: Final answer
    x = 7,346.21

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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.