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Finding the Fourth Proportional to 4,970.94, 7,449.47 and 3,736.91

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Solution

The fourth proportional to 4,970.94, 7,449.47 and 3,736.91 is: 5,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.94 : 7,449.47 = 3,736.91 : x
  2. Step 2: Convert to fraction form
    4,970.94/7,449.47 = 3,736.91/x
  3. Step 3: Cross multiply
    4,970.94x = 7,449.47 × 3,736.91
  4. Step 4: Simplify right side
    4,970.94x = 27,837,943.01
  5. Step 5: Solve for x
    x = 27,837,943.01/4,970.94
  6. Step 6: Final answer
    x = 5,600.14

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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.