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Finding the Fourth Proportional to 5,052.66, 7,579.02 and 1,763.45

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Solution

The fourth proportional to 5,052.66, 7,579.02 and 1,763.45 is: 2,645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.66 : 7,579.02 = 1,763.45 : x
  2. Step 2: Convert to fraction form
    5,052.66/7,579.02 = 1,763.45/x
  3. Step 3: Cross multiply
    5,052.66x = 7,579.02 × 1,763.45
  4. Step 4: Simplify right side
    5,052.66x = 13,365,241.77
  5. Step 5: Solve for x
    x = 13,365,241.77/5,052.66
  6. Step 6: Final answer
    x = 2,645.19

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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.