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Finding the Fourth Proportional to 4,357.50, 6,537.19 and 1,435.69

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Solution

The fourth proportional to 4,357.50, 6,537.19 and 1,435.69 is: 2,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.50 : 6,537.19 = 1,435.69 : x
  2. Step 2: Convert to fraction form
    4,357.50/6,537.19 = 1,435.69/x
  3. Step 3: Cross multiply
    4,357.50x = 6,537.19 × 1,435.69
  4. Step 4: Simplify right side
    4,357.50x = 9,385,385.59
  5. Step 5: Solve for x
    x = 9,385,385.59/4,357.50
  6. Step 6: Final answer
    x = 2,153.85

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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.