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Finding the Fourth Proportional to 3,535.80, 5,303.53 and 1,455.77

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Solution

The fourth proportional to 3,535.80, 5,303.53 and 1,455.77 is: 2,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.80 : 5,303.53 = 1,455.77 : x
  2. Step 2: Convert to fraction form
    3,535.80/5,303.53 = 1,455.77/x
  3. Step 3: Cross multiply
    3,535.80x = 5,303.53 × 1,455.77
  4. Step 4: Simplify right side
    3,535.80x = 7,720,726.76
  5. Step 5: Solve for x
    x = 7,720,726.76/3,535.80
  6. Step 6: Final answer
    x = 2,183.59

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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.