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Finding the Fourth Proportional to 3,136.48, 4,703.76 and 1,084

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Solution

The fourth proportional to 3,136.48, 4,703.76 and 1,084 is: 1,625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.48 : 4,703.76 = 1,084 : x
  2. Step 2: Convert to fraction form
    3,136.48/4,703.76 = 1,084/x
  3. Step 3: Cross multiply
    3,136.48x = 4,703.76 × 1,084
  4. Step 4: Simplify right side
    3,136.48x = 5,098,875.84
  5. Step 5: Solve for x
    x = 5,098,875.84/3,136.48
  6. Step 6: Final answer
    x = 1,625.67

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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.