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Finding the Fourth Proportional to 3,904.41, 5,391.72 and 2,509.59

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Solution

The fourth proportional to 3,904.41, 5,391.72 and 2,509.59 is: 3,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.41 : 5,391.72 = 2,509.59 : x
  2. Step 2: Convert to fraction form
    3,904.41/5,391.72 = 2,509.59/x
  3. Step 3: Cross multiply
    3,904.41x = 5,391.72 × 2,509.59
  4. Step 4: Simplify right side
    3,904.41x = 13,531,006.59
  5. Step 5: Solve for x
    x = 13,531,006.59/3,904.41
  6. Step 6: Final answer
    x = 3,465.57

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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.