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Finding the Fourth Proportional to 4,763.08, 7,136.76 and 1,641.39

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Solution

The fourth proportional to 4,763.08, 7,136.76 and 1,641.39 is: 2,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.08 : 7,136.76 = 1,641.39 : x
  2. Step 2: Convert to fraction form
    4,763.08/7,136.76 = 1,641.39/x
  3. Step 3: Cross multiply
    4,763.08x = 7,136.76 × 1,641.39
  4. Step 4: Simplify right side
    4,763.08x = 11,714,206.50
  5. Step 5: Solve for x
    x = 11,714,206.50/4,763.08
  6. Step 6: Final answer
    x = 2,459.38

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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.