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Finding the Fourth Proportional to 5,760.65, 8,642.34 and 1,865.05

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Solution

The fourth proportional to 5,760.65, 8,642.34 and 1,865.05 is: 2,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.65 : 8,642.34 = 1,865.05 : x
  2. Step 2: Convert to fraction form
    5,760.65/8,642.34 = 1,865.05/x
  3. Step 3: Cross multiply
    5,760.65x = 8,642.34 × 1,865.05
  4. Step 4: Simplify right side
    5,760.65x = 16,118,396.22
  5. Step 5: Solve for x
    x = 16,118,396.22/5,760.65
  6. Step 6: Final answer
    x = 2,798.02

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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.