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Finding the Fourth Proportional to 4,735.59, 6,538.61 and 3,057.96

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Solution

The fourth proportional to 4,735.59, 6,538.61 and 3,057.96 is: 4,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.59 : 6,538.61 = 3,057.96 : x
  2. Step 2: Convert to fraction form
    4,735.59/6,538.61 = 3,057.96/x
  3. Step 3: Cross multiply
    4,735.59x = 6,538.61 × 3,057.96
  4. Step 4: Simplify right side
    4,735.59x = 19,994,792.55
  5. Step 5: Solve for x
    x = 19,994,792.55/4,735.59
  6. Step 6: Final answer
    x = 4,222.24

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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.