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Finding the Fourth Proportional to 3,670.90, 5,510.40 and 2,285.80

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Solution

The fourth proportional to 3,670.90, 5,510.40 and 2,285.80 is: 3,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.90 : 5,510.40 = 2,285.80 : x
  2. Step 2: Convert to fraction form
    3,670.90/5,510.40 = 2,285.80/x
  3. Step 3: Cross multiply
    3,670.90x = 5,510.40 × 2,285.80
  4. Step 4: Simplify right side
    3,670.90x = 12,595,672.32
  5. Step 5: Solve for x
    x = 12,595,672.32/3,670.90
  6. Step 6: Final answer
    x = 3,431.22

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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.