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Finding the Fourth Proportional to 3,735.32, 5,597.74 and 2,070.21

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Solution

The fourth proportional to 3,735.32, 5,597.74 and 2,070.21 is: 3,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.32 : 5,597.74 = 2,070.21 : x
  2. Step 2: Convert to fraction form
    3,735.32/5,597.74 = 2,070.21/x
  3. Step 3: Cross multiply
    3,735.32x = 5,597.74 × 2,070.21
  4. Step 4: Simplify right side
    3,735.32x = 11,588,489.42
  5. Step 5: Solve for x
    x = 11,588,489.42/3,735.32
  6. Step 6: Final answer
    x = 3,102.41

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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.