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Finding the Fourth Proportional to 5,113.90, 7,666.80 and 2,805.40

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Solution

The fourth proportional to 5,113.90, 7,666.80 and 2,805.40 is: 4,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.90 : 7,666.80 = 2,805.40 : x
  2. Step 2: Convert to fraction form
    5,113.90/7,666.80 = 2,805.40/x
  3. Step 3: Cross multiply
    5,113.90x = 7,666.80 × 2,805.40
  4. Step 4: Simplify right side
    5,113.90x = 21,508,440.72
  5. Step 5: Solve for x
    x = 21,508,440.72/5,113.90
  6. Step 6: Final answer
    x = 4,205.88

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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.