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Finding the Fourth Proportional to 6,228.96, 8,584.14 and 4,457.50

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Solution

The fourth proportional to 6,228.96, 8,584.14 and 4,457.50 is: 6,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.96 : 8,584.14 = 4,457.50 : x
  2. Step 2: Convert to fraction form
    6,228.96/8,584.14 = 4,457.50/x
  3. Step 3: Cross multiply
    6,228.96x = 8,584.14 × 4,457.50
  4. Step 4: Simplify right side
    6,228.96x = 38,263,804.05
  5. Step 5: Solve for x
    x = 38,263,804.05/6,228.96
  6. Step 6: Final answer
    x = 6,142.89

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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.