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Finding the Fourth Proportional to 3,475.84, 5,213 and 1,136.04

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Solution

The fourth proportional to 3,475.84, 5,213 and 1,136.04 is: 1,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.84 : 5,213 = 1,136.04 : x
  2. Step 2: Convert to fraction form
    3,475.84/5,213 = 1,136.04/x
  3. Step 3: Cross multiply
    3,475.84x = 5,213 × 1,136.04
  4. Step 4: Simplify right side
    3,475.84x = 5,922,176.52
  5. Step 5: Solve for x
    x = 5,922,176.52/3,475.84
  6. Step 6: Final answer
    x = 1,703.81

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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.