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Finding the Fourth Proportional to 4,357.60, 6,535.49 and 1,435.22

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Solution

The fourth proportional to 4,357.60, 6,535.49 and 1,435.22 is: 2,152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.60 : 6,535.49 = 1,435.22 : x
  2. Step 2: Convert to fraction form
    4,357.60/6,535.49 = 1,435.22/x
  3. Step 3: Cross multiply
    4,357.60x = 6,535.49 × 1,435.22
  4. Step 4: Simplify right side
    4,357.60x = 9,379,850.61
  5. Step 5: Solve for x
    x = 9,379,850.61/4,357.60
  6. Step 6: Final answer
    x = 2,152.53

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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.