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Finding the Fourth Proportional to 3,735.90, 5,602.77 and 1,269.34

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Solution

The fourth proportional to 3,735.90, 5,602.77 and 1,269.34 is: 1,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.90 : 5,602.77 = 1,269.34 : x
  2. Step 2: Convert to fraction form
    3,735.90/5,602.77 = 1,269.34/x
  3. Step 3: Cross multiply
    3,735.90x = 5,602.77 × 1,269.34
  4. Step 4: Simplify right side
    3,735.90x = 7,111,820.07
  5. Step 5: Solve for x
    x = 7,111,820.07/3,735.90
  6. Step 6: Final answer
    x = 1,903.64

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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.