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Finding the Fourth Proportional to 4,188.99, 5,778.63 and 2,509.59

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Solution

The fourth proportional to 4,188.99, 5,778.63 and 2,509.59 is: 3,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.99 : 5,778.63 = 2,509.59 : x
  2. Step 2: Convert to fraction form
    4,188.99/5,778.63 = 2,509.59/x
  3. Step 3: Cross multiply
    4,188.99x = 5,778.63 × 2,509.59
  4. Step 4: Simplify right side
    4,188.99x = 14,501,992.06
  5. Step 5: Solve for x
    x = 14,501,992.06/4,188.99
  6. Step 6: Final answer
    x = 3,461.93

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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.