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Finding the Fourth Proportional to 5,055.33, 7,582.76 and 1,769.16

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Solution

The fourth proportional to 5,055.33, 7,582.76 and 1,769.16 is: 2,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.33 : 7,582.76 = 1,769.16 : x
  2. Step 2: Convert to fraction form
    5,055.33/7,582.76 = 1,769.16/x
  3. Step 3: Cross multiply
    5,055.33x = 7,582.76 × 1,769.16
  4. Step 4: Simplify right side
    5,055.33x = 13,415,115.68
  5. Step 5: Solve for x
    x = 13,415,115.68/5,055.33
  6. Step 6: Final answer
    x = 2,653.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.