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Finding the Fourth Proportional to 3,735.91, 5,602.55 and 1,102.72

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Solution

The fourth proportional to 3,735.91, 5,602.55 and 1,102.72 is: 1,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.91 : 5,602.55 = 1,102.72 : x
  2. Step 2: Convert to fraction form
    3,735.91/5,602.55 = 1,102.72/x
  3. Step 3: Cross multiply
    3,735.91x = 5,602.55 × 1,102.72
  4. Step 4: Simplify right side
    3,735.91x = 6,178,015.92
  5. Step 5: Solve for x
    x = 6,178,015.92/3,735.91
  6. Step 6: Final answer
    x = 1,653.68

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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.