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Finding the Fourth Proportional to 3,435.09, 5,152.50 and 1,243.86

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Solution

The fourth proportional to 3,435.09, 5,152.50 and 1,243.86 is: 1,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.09 : 5,152.50 = 1,243.86 : x
  2. Step 2: Convert to fraction form
    3,435.09/5,152.50 = 1,243.86/x
  3. Step 3: Cross multiply
    3,435.09x = 5,152.50 × 1,243.86
  4. Step 4: Simplify right side
    3,435.09x = 6,408,988.65
  5. Step 5: Solve for x
    x = 6,408,988.65/3,435.09
  6. Step 6: Final answer
    x = 1,865.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.