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Finding the Fourth Proportional to 3,735.32, 5,601.35 and 1,269.47

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Solution

The fourth proportional to 3,735.32, 5,601.35 and 1,269.47 is: 1,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.32 : 5,601.35 = 1,269.47 : x
  2. Step 2: Convert to fraction form
    3,735.32/5,601.35 = 1,269.47/x
  3. Step 3: Cross multiply
    3,735.32x = 5,601.35 × 1,269.47
  4. Step 4: Simplify right side
    3,735.32x = 7,110,762.96
  5. Step 5: Solve for x
    x = 7,110,762.96/3,735.32
  6. Step 6: Final answer
    x = 1,903.66

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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.