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Finding the Fourth Proportional to 4,973.74, 7,465.09 and 3,244.46

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Solution

The fourth proportional to 4,973.74, 7,465.09 and 3,244.46 is: 4,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.74 : 7,465.09 = 3,244.46 : x
  2. Step 2: Convert to fraction form
    4,973.74/7,465.09 = 3,244.46/x
  3. Step 3: Cross multiply
    4,973.74x = 7,465.09 × 3,244.46
  4. Step 4: Simplify right side
    4,973.74x = 24,220,185.90
  5. Step 5: Solve for x
    x = 24,220,185.90/4,973.74
  6. Step 6: Final answer
    x = 4,869.61

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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.