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Finding the Fourth Proportional to 4,705.01, 7,051.97 and 1,930.31

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Solution

The fourth proportional to 4,705.01, 7,051.97 and 1,930.31 is: 2,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.01 : 7,051.97 = 1,930.31 : x
  2. Step 2: Convert to fraction form
    4,705.01/7,051.97 = 1,930.31/x
  3. Step 3: Cross multiply
    4,705.01x = 7,051.97 × 1,930.31
  4. Step 4: Simplify right side
    4,705.01x = 13,612,457.78
  5. Step 5: Solve for x
    x = 13,612,457.78/4,705.01
  6. Step 6: Final answer
    x = 2,893.19

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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.