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Finding the Fourth Proportional to 3,740.90, 5,612.10 and 1,108.40

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Solution

The fourth proportional to 3,740.90, 5,612.10 and 1,108.40 is: 1,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.90 : 5,612.10 = 1,108.40 : x
  2. Step 2: Convert to fraction form
    3,740.90/5,612.10 = 1,108.40/x
  3. Step 3: Cross multiply
    3,740.90x = 5,612.10 × 1,108.40
  4. Step 4: Simplify right side
    3,740.90x = 6,220,451.64
  5. Step 5: Solve for x
    x = 6,220,451.64/3,740.90
  6. Step 6: Final answer
    x = 1,662.82

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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.