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Finding the Fourth Proportional to 3,136.08, 4,703.57 and 1,470.38

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Solution

The fourth proportional to 3,136.08, 4,703.57 and 1,470.38 is: 2,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.08 : 4,703.57 = 1,470.38 : x
  2. Step 2: Convert to fraction form
    3,136.08/4,703.57 = 1,470.38/x
  3. Step 3: Cross multiply
    3,136.08x = 4,703.57 × 1,470.38
  4. Step 4: Simplify right side
    3,136.08x = 6,916,035.26
  5. Step 5: Solve for x
    x = 6,916,035.26/3,136.08
  6. Step 6: Final answer
    x = 2,205.31

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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.