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Finding the Fourth Proportional to 5,620.57, 8,430.84 and 1,516.57

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Solution

The fourth proportional to 5,620.57, 8,430.84 and 1,516.57 is: 2,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.57 : 8,430.84 = 1,516.57 : x
  2. Step 2: Convert to fraction form
    5,620.57/8,430.84 = 1,516.57/x
  3. Step 3: Cross multiply
    5,620.57x = 8,430.84 × 1,516.57
  4. Step 4: Simplify right side
    5,620.57x = 12,785,959.02
  5. Step 5: Solve for x
    x = 12,785,959.02/5,620.57
  6. Step 6: Final answer
    x = 2,274.85

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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.