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Finding the Fourth Proportional to 5,624.76, 8,428.93 and 3,164.39

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Solution

The fourth proportional to 5,624.76, 8,428.93 and 3,164.39 is: 4,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.76 : 8,428.93 = 3,164.39 : x
  2. Step 2: Convert to fraction form
    5,624.76/8,428.93 = 3,164.39/x
  3. Step 3: Cross multiply
    5,624.76x = 8,428.93 × 3,164.39
  4. Step 4: Simplify right side
    5,624.76x = 26,672,363.84
  5. Step 5: Solve for x
    x = 26,672,363.84/5,624.76
  6. Step 6: Final answer
    x = 4,741.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.