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Finding the Fourth Proportional to 3,678.51, 5,518.44 and 1,486.65

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Solution

The fourth proportional to 3,678.51, 5,518.44 and 1,486.65 is: 2,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.51 : 5,518.44 = 1,486.65 : x
  2. Step 2: Convert to fraction form
    3,678.51/5,518.44 = 1,486.65/x
  3. Step 3: Cross multiply
    3,678.51x = 5,518.44 × 1,486.65
  4. Step 4: Simplify right side
    3,678.51x = 8,203,988.83
  5. Step 5: Solve for x
    x = 8,203,988.83/3,678.51
  6. Step 6: Final answer
    x = 2,230.25

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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.