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Finding the Fourth Proportional to 4,507.53, 6,220.50 and 2,829

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Solution

The fourth proportional to 4,507.53, 6,220.50 and 2,829 is: 3,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.53 : 6,220.50 = 2,829 : x
  2. Step 2: Convert to fraction form
    4,507.53/6,220.50 = 2,829/x
  3. Step 3: Cross multiply
    4,507.53x = 6,220.50 × 2,829
  4. Step 4: Simplify right side
    4,507.53x = 17,597,794.50
  5. Step 5: Solve for x
    x = 17,597,794.50/4,507.53
  6. Step 6: Final answer
    x = 3,904.09

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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.