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Finding the Fourth Proportional to 3,535.77, 5,303.64 and 903.27

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Solution

The fourth proportional to 3,535.77, 5,303.64 and 903.27 is: 1,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.77 : 5,303.64 = 903.27 : x
  2. Step 2: Convert to fraction form
    3,535.77/5,303.64 = 903.27/x
  3. Step 3: Cross multiply
    3,535.77x = 5,303.64 × 903.27
  4. Step 4: Simplify right side
    3,535.77x = 4,790,618.90
  5. Step 5: Solve for x
    x = 4,790,618.90/3,535.77
  6. Step 6: Final answer
    x = 1,354.90

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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.