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Finding the Fourth Proportional to 4,707.96, 7,054.64 and 2,972.94

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Solution

The fourth proportional to 4,707.96, 7,054.64 and 2,972.94 is: 4,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.96 : 7,054.64 = 2,972.94 : x
  2. Step 2: Convert to fraction form
    4,707.96/7,054.64 = 2,972.94/x
  3. Step 3: Cross multiply
    4,707.96x = 7,054.64 × 2,972.94
  4. Step 4: Simplify right side
    4,707.96x = 20,973,021.44
  5. Step 5: Solve for x
    x = 20,973,021.44/4,707.96
  6. Step 6: Final answer
    x = 4,454.80

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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.