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Finding the Fourth Proportional to 3,535.35, 5,302.13 and 1,455.93

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Solution

The fourth proportional to 3,535.35, 5,302.13 and 1,455.93 is: 2,183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.35 : 5,302.13 = 1,455.93 : x
  2. Step 2: Convert to fraction form
    3,535.35/5,302.13 = 1,455.93/x
  3. Step 3: Cross multiply
    3,535.35x = 5,302.13 × 1,455.93
  4. Step 4: Simplify right side
    3,535.35x = 7,719,522.85
  5. Step 5: Solve for x
    x = 7,719,522.85/3,535.35
  6. Step 6: Final answer
    x = 2,183.52

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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.