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Finding the Fourth Proportional to 5,053.60, 7,577.97 and 1,766.62

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Solution

The fourth proportional to 5,053.60, 7,577.97 and 1,766.62 is: 2,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.60 : 7,577.97 = 1,766.62 : x
  2. Step 2: Convert to fraction form
    5,053.60/7,577.97 = 1,766.62/x
  3. Step 3: Cross multiply
    5,053.60x = 7,577.97 × 1,766.62
  4. Step 4: Simplify right side
    5,053.60x = 13,387,393.36
  5. Step 5: Solve for x
    x = 13,387,393.36/5,053.60
  6. Step 6: Final answer
    x = 2,649.08

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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.