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Finding the Fourth Proportional to 5,153.36, 7,718.02 and 3,763.25

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Solution

The fourth proportional to 5,153.36, 7,718.02 and 3,763.25 is: 5,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.36 : 7,718.02 = 3,763.25 : x
  2. Step 2: Convert to fraction form
    5,153.36/7,718.02 = 3,763.25/x
  3. Step 3: Cross multiply
    5,153.36x = 7,718.02 × 3,763.25
  4. Step 4: Simplify right side
    5,153.36x = 29,044,838.77
  5. Step 5: Solve for x
    x = 29,044,838.77/5,153.36
  6. Step 6: Final answer
    x = 5,636.10

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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.