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Finding the Fourth Proportional to 5,678.46, 8,518.23 and 1,980.27

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Solution

The fourth proportional to 5,678.46, 8,518.23 and 1,980.27 is: 2,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.46 : 8,518.23 = 1,980.27 : x
  2. Step 2: Convert to fraction form
    5,678.46/8,518.23 = 1,980.27/x
  3. Step 3: Cross multiply
    5,678.46x = 8,518.23 × 1,980.27
  4. Step 4: Simplify right side
    5,678.46x = 16,868,395.32
  5. Step 5: Solve for x
    x = 16,868,395.32/5,678.46
  6. Step 6: Final answer
    x = 2,970.59

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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.