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Finding the Fourth Proportional to 3,624.75, 5,437.94 and 1,316.25

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Solution

The fourth proportional to 3,624.75, 5,437.94 and 1,316.25 is: 1,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.75 : 5,437.94 = 1,316.25 : x
  2. Step 2: Convert to fraction form
    3,624.75/5,437.94 = 1,316.25/x
  3. Step 3: Cross multiply
    3,624.75x = 5,437.94 × 1,316.25
  4. Step 4: Simplify right side
    3,624.75x = 7,157,681.94
  5. Step 5: Solve for x
    x = 7,157,681.94/3,624.75
  6. Step 6: Final answer
    x = 1,974.67

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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.