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Finding the Fourth Proportional to 5,380.65, 8,059.64 and 2,461.41

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Solution

The fourth proportional to 5,380.65, 8,059.64 and 2,461.41 is: 3,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.65 : 8,059.64 = 2,461.41 : x
  2. Step 2: Convert to fraction form
    5,380.65/8,059.64 = 2,461.41/x
  3. Step 3: Cross multiply
    5,380.65x = 8,059.64 × 2,461.41
  4. Step 4: Simplify right side
    5,380.65x = 19,838,066.19
  5. Step 5: Solve for x
    x = 19,838,066.19/5,380.65
  6. Step 6: Final answer
    x = 3,686.93

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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.