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Finding the Fourth Proportional to 4,934.63, 7,405.25 and 2,337.77

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Solution

The fourth proportional to 4,934.63, 7,405.25 and 2,337.77 is: 3,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.63 : 7,405.25 = 2,337.77 : x
  2. Step 2: Convert to fraction form
    4,934.63/7,405.25 = 2,337.77/x
  3. Step 3: Cross multiply
    4,934.63x = 7,405.25 × 2,337.77
  4. Step 4: Simplify right side
    4,934.63x = 17,311,722.58
  5. Step 5: Solve for x
    x = 17,311,722.58/4,934.63
  6. Step 6: Final answer
    x = 3,508.21

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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.