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Finding the Fourth Proportional to 4,943.94, 7,416.72 and 2,021.46

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Solution

The fourth proportional to 4,943.94, 7,416.72 and 2,021.46 is: 3,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.94 : 7,416.72 = 2,021.46 : x
  2. Step 2: Convert to fraction form
    4,943.94/7,416.72 = 2,021.46/x
  3. Step 3: Cross multiply
    4,943.94x = 7,416.72 × 2,021.46
  4. Step 4: Simplify right side
    4,943.94x = 14,992,602.81
  5. Step 5: Solve for x
    x = 14,992,602.81/4,943.94
  6. Step 6: Final answer
    x = 3,032.52

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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.