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Finding the Fourth Proportional to 3,810.98, 5,714.75 and 1,730.90

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Solution

The fourth proportional to 3,810.98, 5,714.75 and 1,730.90 is: 2,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.98 : 5,714.75 = 1,730.90 : x
  2. Step 2: Convert to fraction form
    3,810.98/5,714.75 = 1,730.90/x
  3. Step 3: Cross multiply
    3,810.98x = 5,714.75 × 1,730.90
  4. Step 4: Simplify right side
    3,810.98x = 9,891,623.55
  5. Step 5: Solve for x
    x = 9,891,623.55/3,810.98
  6. Step 6: Final answer
    x = 2,595.56

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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.