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Finding the Fourth Proportional to 3,602.90, 5,404.08 and 1,137.80

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Solution

The fourth proportional to 3,602.90, 5,404.08 and 1,137.80 is: 1,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.90 : 5,404.08 = 1,137.80 : x
  2. Step 2: Convert to fraction form
    3,602.90/5,404.08 = 1,137.80/x
  3. Step 3: Cross multiply
    3,602.90x = 5,404.08 × 1,137.80
  4. Step 4: Simplify right side
    3,602.90x = 6,148,762.22
  5. Step 5: Solve for x
    x = 6,148,762.22/3,602.90
  6. Step 6: Final answer
    x = 1,706.61

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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.