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Finding the Fourth Proportional to 3,735.01, 5,602.56 and 1,269.88

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Solution

The fourth proportional to 3,735.01, 5,602.56 and 1,269.88 is: 1,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.01 : 5,602.56 = 1,269.88 : x
  2. Step 2: Convert to fraction form
    3,735.01/5,602.56 = 1,269.88/x
  3. Step 3: Cross multiply
    3,735.01x = 5,602.56 × 1,269.88
  4. Step 4: Simplify right side
    3,735.01x = 7,114,578.89
  5. Step 5: Solve for x
    x = 7,114,578.89/3,735.01
  6. Step 6: Final answer
    x = 1,904.84

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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.