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Finding the Fourth Proportional to 5,720.40, 8,574.20 and 3,256.40

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Solution

The fourth proportional to 5,720.40, 8,574.20 and 3,256.40 is: 4,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.40 : 8,574.20 = 3,256.40 : x
  2. Step 2: Convert to fraction form
    5,720.40/8,574.20 = 3,256.40/x
  3. Step 3: Cross multiply
    5,720.40x = 8,574.20 × 3,256.40
  4. Step 4: Simplify right side
    5,720.40x = 27,921,024.88
  5. Step 5: Solve for x
    x = 27,921,024.88/5,720.40
  6. Step 6: Final answer
    x = 4,880.96

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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.