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Finding the Fourth Proportional to 4,188.65, 5,778.34 and 2,509.25

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Solution

The fourth proportional to 4,188.65, 5,778.34 and 2,509.25 is: 3,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.65 : 5,778.34 = 2,509.25 : x
  2. Step 2: Convert to fraction form
    4,188.65/5,778.34 = 2,509.25/x
  3. Step 3: Cross multiply
    4,188.65x = 5,778.34 × 2,509.25
  4. Step 4: Simplify right side
    4,188.65x = 14,499,299.65
  5. Step 5: Solve for x
    x = 14,499,299.65/4,188.65
  6. Step 6: Final answer
    x = 3,461.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.