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Finding the Fourth Proportional to 5,294.88, 7,310.28 and 3,407.34

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Solution

The fourth proportional to 5,294.88, 7,310.28 and 3,407.34 is: 4,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.88 : 7,310.28 = 3,407.34 : x
  2. Step 2: Convert to fraction form
    5,294.88/7,310.28 = 3,407.34/x
  3. Step 3: Cross multiply
    5,294.88x = 7,310.28 × 3,407.34
  4. Step 4: Simplify right side
    5,294.88x = 24,908,609.46
  5. Step 5: Solve for x
    x = 24,908,609.46/5,294.88
  6. Step 6: Final answer
    x = 4,704.28

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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.