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Finding the Fourth Proportional to 3,458.65, 5,188.72 and 1,118.80

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Solution

The fourth proportional to 3,458.65, 5,188.72 and 1,118.80 is: 1,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.65 : 5,188.72 = 1,118.80 : x
  2. Step 2: Convert to fraction form
    3,458.65/5,188.72 = 1,118.80/x
  3. Step 3: Cross multiply
    3,458.65x = 5,188.72 × 1,118.80
  4. Step 4: Simplify right side
    3,458.65x = 5,805,139.94
  5. Step 5: Solve for x
    x = 5,805,139.94/3,458.65
  6. Step 6: Final answer
    x = 1,678.44

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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.