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Finding the Fourth Proportional to 6,223.52, 8,588.42 and 3,429

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Solution

The fourth proportional to 6,223.52, 8,588.42 and 3,429 is: 4,732.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.52 : 8,588.42 = 3,429 : x
  2. Step 2: Convert to fraction form
    6,223.52/8,588.42 = 3,429/x
  3. Step 3: Cross multiply
    6,223.52x = 8,588.42 × 3,429
  4. Step 4: Simplify right side
    6,223.52x = 29,449,692.18
  5. Step 5: Solve for x
    x = 29,449,692.18/6,223.52
  6. Step 6: Final answer
    x = 4,732.00

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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.