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Finding the Fourth Proportional to 5,418.64, 8,123.92 and 2,130

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Solution

The fourth proportional to 5,418.64, 8,123.92 and 2,130 is: 3,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.64 : 8,123.92 = 2,130 : x
  2. Step 2: Convert to fraction form
    5,418.64/8,123.92 = 2,130/x
  3. Step 3: Cross multiply
    5,418.64x = 8,123.92 × 2,130
  4. Step 4: Simplify right side
    5,418.64x = 17,303,949.60
  5. Step 5: Solve for x
    x = 17,303,949.60/5,418.64
  6. Step 6: Final answer
    x = 3,193.41

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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.