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Finding the Fourth Proportional to 4,329.09, 6,494.09 and 2,135.70

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Solution

The fourth proportional to 4,329.09, 6,494.09 and 2,135.70 is: 3,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.09 : 6,494.09 = 2,135.70 : x
  2. Step 2: Convert to fraction form
    4,329.09/6,494.09 = 2,135.70/x
  3. Step 3: Cross multiply
    4,329.09x = 6,494.09 × 2,135.70
  4. Step 4: Simplify right side
    4,329.09x = 13,869,417.33
  5. Step 5: Solve for x
    x = 13,869,417.33/4,329.09
  6. Step 6: Final answer
    x = 3,203.77

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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.