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Finding the Fourth Proportional to 4,675.48, 7,016.16 and 1,902.22

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Solution

The fourth proportional to 4,675.48, 7,016.16 and 1,902.22 is: 2,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.48 : 7,016.16 = 1,902.22 : x
  2. Step 2: Convert to fraction form
    4,675.48/7,016.16 = 1,902.22/x
  3. Step 3: Cross multiply
    4,675.48x = 7,016.16 × 1,902.22
  4. Step 4: Simplify right side
    4,675.48x = 13,346,279.88
  5. Step 5: Solve for x
    x = 13,346,279.88/4,675.48
  6. Step 6: Final answer
    x = 2,854.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.