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Finding the Fourth Proportional to 3,532.30, 4,864.71 and 3,455.77

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Solution

The fourth proportional to 3,532.30, 4,864.71 and 3,455.77 is: 4,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.30 : 4,864.71 = 3,455.77 : x
  2. Step 2: Convert to fraction form
    3,532.30/4,864.71 = 3,455.77/x
  3. Step 3: Cross multiply
    3,532.30x = 4,864.71 × 3,455.77
  4. Step 4: Simplify right side
    3,532.30x = 16,811,318.88
  5. Step 5: Solve for x
    x = 16,811,318.88/3,532.30
  6. Step 6: Final answer
    x = 4,759.31

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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.