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Finding the Fourth Proportional to 4,924.79, 7,385.02 and 1,844.63

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Solution

The fourth proportional to 4,924.79, 7,385.02 and 1,844.63 is: 2,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.79 : 7,385.02 = 1,844.63 : x
  2. Step 2: Convert to fraction form
    4,924.79/7,385.02 = 1,844.63/x
  3. Step 3: Cross multiply
    4,924.79x = 7,385.02 × 1,844.63
  4. Step 4: Simplify right side
    4,924.79x = 13,622,587.91
  5. Step 5: Solve for x
    x = 13,622,587.91/4,924.79
  6. Step 6: Final answer
    x = 2,766.13

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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.