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Finding the Fourth Proportional to 3,535.95, 5,303.70 and 1,344.63

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Solution

The fourth proportional to 3,535.95, 5,303.70 and 1,344.63 is: 2,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.95 : 5,303.70 = 1,344.63 : x
  2. Step 2: Convert to fraction form
    3,535.95/5,303.70 = 1,344.63/x
  3. Step 3: Cross multiply
    3,535.95x = 5,303.70 × 1,344.63
  4. Step 4: Simplify right side
    3,535.95x = 7,131,514.13
  5. Step 5: Solve for x
    x = 7,131,514.13/3,535.95
  6. Step 6: Final answer
    x = 2,016.86

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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.