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Finding the Fourth Proportional to 3,136.54, 4,703.67 and 945.34

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Solution

The fourth proportional to 3,136.54, 4,703.67 and 945.34 is: 1,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.54 : 4,703.67 = 945.34 : x
  2. Step 2: Convert to fraction form
    3,136.54/4,703.67 = 945.34/x
  3. Step 3: Cross multiply
    3,136.54x = 4,703.67 × 945.34
  4. Step 4: Simplify right side
    3,136.54x = 4,446,567.40
  5. Step 5: Solve for x
    x = 4,446,567.40/3,136.54
  6. Step 6: Final answer
    x = 1,417.67

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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.