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Finding the Fourth Proportional to 7,052.09, 10,580.90 and 2,894.09

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Solution

The fourth proportional to 7,052.09, 10,580.90 and 2,894.09 is: 4,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.09 : 10,580.90 = 2,894.09 : x
  2. Step 2: Convert to fraction form
    7,052.09/10,580.90 = 2,894.09/x
  3. Step 3: Cross multiply
    7,052.09x = 10,580.90 × 2,894.09
  4. Step 4: Simplify right side
    7,052.09x = 30,622,009.51
  5. Step 5: Solve for x
    x = 30,622,009.51/7,052.09
  6. Step 6: Final answer
    x = 4,342.26

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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.