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Finding the Fourth Proportional to 3,683.80, 5,525.70 and 3,610.90

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Solution

The fourth proportional to 3,683.80, 5,525.70 and 3,610.90 is: 5,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.80 : 5,525.70 = 3,610.90 : x
  2. Step 2: Convert to fraction form
    3,683.80/5,525.70 = 3,610.90/x
  3. Step 3: Cross multiply
    3,683.80x = 5,525.70 × 3,610.90
  4. Step 4: Simplify right side
    3,683.80x = 19,952,750.13
  5. Step 5: Solve for x
    x = 19,952,750.13/3,683.80
  6. Step 6: Final answer
    x = 5,416.35

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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.