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Finding the Fourth Proportional to 3,136.75, 4,703.90 and 1,675.10

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Solution

The fourth proportional to 3,136.75, 4,703.90 and 1,675.10 is: 2,512.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.75 : 4,703.90 = 1,675.10 : x
  2. Step 2: Convert to fraction form
    3,136.75/4,703.90 = 1,675.10/x
  3. Step 3: Cross multiply
    3,136.75x = 4,703.90 × 1,675.10
  4. Step 4: Simplify right side
    3,136.75x = 7,879,502.89
  5. Step 5: Solve for x
    x = 7,879,502.89/3,136.75
  6. Step 6: Final answer
    x = 2,512.00

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Why These Related Problems?

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