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Finding the Fourth Proportional to 3,870.63, 5,329.33 and 3,415.92

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Solution

The fourth proportional to 3,870.63, 5,329.33 and 3,415.92 is: 4,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.63 : 5,329.33 = 3,415.92 : x
  2. Step 2: Convert to fraction form
    3,870.63/5,329.33 = 3,415.92/x
  3. Step 3: Cross multiply
    3,870.63x = 5,329.33 × 3,415.92
  4. Step 4: Simplify right side
    3,870.63x = 18,204,564.93
  5. Step 5: Solve for x
    x = 18,204,564.93/3,870.63
  6. Step 6: Final answer
    x = 4,703.26

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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.