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Finding the Fourth Proportional to 5,503.80, 7,595.34 and 3,114.30

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Solution

The fourth proportional to 5,503.80, 7,595.34 and 3,114.30 is: 4,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.80 : 7,595.34 = 3,114.30 : x
  2. Step 2: Convert to fraction form
    5,503.80/7,595.34 = 3,114.30/x
  3. Step 3: Cross multiply
    5,503.80x = 7,595.34 × 3,114.30
  4. Step 4: Simplify right side
    5,503.80x = 23,654,167.36
  5. Step 5: Solve for x
    x = 23,654,167.36/5,503.80
  6. Step 6: Final answer
    x = 4,297.79

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