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Finding the Fourth Proportional to 4,612.51, 6,364.31 and 2,933.31

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Solution

The fourth proportional to 4,612.51, 6,364.31 and 2,933.31 is: 4,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.51 : 6,364.31 = 2,933.31 : x
  2. Step 2: Convert to fraction form
    4,612.51/6,364.31 = 2,933.31/x
  3. Step 3: Cross multiply
    4,612.51x = 6,364.31 × 2,933.31
  4. Step 4: Simplify right side
    4,612.51x = 18,668,503.37
  5. Step 5: Solve for x
    x = 18,668,503.37/4,612.51
  6. Step 6: Final answer
    x = 4,047.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.