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Finding the Fourth Proportional to 5,256.54, 7,888.32 and 2,178.54

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Solution

The fourth proportional to 5,256.54, 7,888.32 and 2,178.54 is: 3,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.54 : 7,888.32 = 2,178.54 : x
  2. Step 2: Convert to fraction form
    5,256.54/7,888.32 = 2,178.54/x
  3. Step 3: Cross multiply
    5,256.54x = 7,888.32 × 2,178.54
  4. Step 4: Simplify right side
    5,256.54x = 17,185,020.65
  5. Step 5: Solve for x
    x = 17,185,020.65/5,256.54
  6. Step 6: Final answer
    x = 3,269.26

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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.