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Finding the Fourth Proportional to 3,619.34, 5,429.38 and 986.90

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Solution

The fourth proportional to 3,619.34, 5,429.38 and 986.90 is: 1,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.34 : 5,429.38 = 986.90 : x
  2. Step 2: Convert to fraction form
    3,619.34/5,429.38 = 986.90/x
  3. Step 3: Cross multiply
    3,619.34x = 5,429.38 × 986.90
  4. Step 4: Simplify right side
    3,619.34x = 5,358,255.12
  5. Step 5: Solve for x
    x = 5,358,255.12/3,619.34
  6. Step 6: Final answer
    x = 1,480.45

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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.