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Finding the Fourth Proportional to 5,829.00, 8,047.06 and 4,532.59

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Solution

The fourth proportional to 5,829.00, 8,047.06 and 4,532.59 is: 6,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.00 : 8,047.06 = 4,532.59 : x
  2. Step 2: Convert to fraction form
    5,829.00/8,047.06 = 4,532.59/x
  3. Step 3: Cross multiply
    5,829.00x = 8,047.06 × 4,532.59
  4. Step 4: Simplify right side
    5,829.00x = 36,474,012.35
  5. Step 5: Solve for x
    x = 36,474,012.35/5,829.00
  6. Step 6: Final answer
    x = 6,257.34

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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.