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Finding the Fourth Proportional to 4,846.63, 7,269.97 and 1,924.93

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Solution

The fourth proportional to 4,846.63, 7,269.97 and 1,924.93 is: 2,887.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.63 : 7,269.97 = 1,924.93 : x
  2. Step 2: Convert to fraction form
    4,846.63/7,269.97 = 1,924.93/x
  3. Step 3: Cross multiply
    4,846.63x = 7,269.97 × 1,924.93
  4. Step 4: Simplify right side
    4,846.63x = 13,994,160.36
  5. Step 5: Solve for x
    x = 13,994,160.36/4,846.63
  6. Step 6: Final answer
    x = 2,887.40

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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.