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Finding the Fourth Proportional to 5,653.78, 7,802.01 and 3,136

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Solution

The fourth proportional to 5,653.78, 7,802.01 and 3,136 is: 4,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.78 : 7,802.01 = 3,136 : x
  2. Step 2: Convert to fraction form
    5,653.78/7,802.01 = 3,136/x
  3. Step 3: Cross multiply
    5,653.78x = 7,802.01 × 3,136
  4. Step 4: Simplify right side
    5,653.78x = 24,467,103.36
  5. Step 5: Solve for x
    x = 24,467,103.36/5,653.78
  6. Step 6: Final answer
    x = 4,327.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.