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Finding the Fourth Proportional to 5,409.64, 8,113.02 and 2,122.12

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Solution

The fourth proportional to 5,409.64, 8,113.02 and 2,122.12 is: 3,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.64 : 8,113.02 = 2,122.12 : x
  2. Step 2: Convert to fraction form
    5,409.64/8,113.02 = 2,122.12/x
  3. Step 3: Cross multiply
    5,409.64x = 8,113.02 × 2,122.12
  4. Step 4: Simplify right side
    5,409.64x = 17,216,802.00
  5. Step 5: Solve for x
    x = 17,216,802.00/5,409.64
  6. Step 6: Final answer
    x = 3,182.62

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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.