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Finding the Fourth Proportional to 4,769.44, 7,100.72 and 4,746.34

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Solution

The fourth proportional to 4,769.44, 7,100.72 and 4,746.34 is: 7,066.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.44 : 7,100.72 = 4,746.34 : x
  2. Step 2: Convert to fraction form
    4,769.44/7,100.72 = 4,746.34/x
  3. Step 3: Cross multiply
    4,769.44x = 7,100.72 × 4,746.34
  4. Step 4: Simplify right side
    4,769.44x = 33,702,431.36
  5. Step 5: Solve for x
    x = 33,702,431.36/4,769.44
  6. Step 6: Final answer
    x = 7,066.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.