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Finding the Fourth Proportional to 4,973.62, 7,453.71 and 1,893.94

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Solution

The fourth proportional to 4,973.62, 7,453.71 and 1,893.94 is: 2,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.62 : 7,453.71 = 1,893.94 : x
  2. Step 2: Convert to fraction form
    4,973.62/7,453.71 = 1,893.94/x
  3. Step 3: Cross multiply
    4,973.62x = 7,453.71 × 1,893.94
  4. Step 4: Simplify right side
    4,973.62x = 14,116,879.52
  5. Step 5: Solve for x
    x = 14,116,879.52/4,973.62
  6. Step 6: Final answer
    x = 2,838.35

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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.