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Finding the Fourth Proportional to 3,543.62, 5,315.37 and 1,235.06

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Solution

The fourth proportional to 3,543.62, 5,315.37 and 1,235.06 is: 1,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.62 : 5,315.37 = 1,235.06 : x
  2. Step 2: Convert to fraction form
    3,543.62/5,315.37 = 1,235.06/x
  3. Step 3: Cross multiply
    3,543.62x = 5,315.37 × 1,235.06
  4. Step 4: Simplify right side
    3,543.62x = 6,564,800.87
  5. Step 5: Solve for x
    x = 6,564,800.87/3,543.62
  6. Step 6: Final answer
    x = 1,852.57

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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.