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Finding the Fourth Proportional to 3,472.64, 5,208.95 and 1,625.05

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Solution

The fourth proportional to 3,472.64, 5,208.95 and 1,625.05 is: 2,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.64 : 5,208.95 = 1,625.05 : x
  2. Step 2: Convert to fraction form
    3,472.64/5,208.95 = 1,625.05/x
  3. Step 3: Cross multiply
    3,472.64x = 5,208.95 × 1,625.05
  4. Step 4: Simplify right side
    3,472.64x = 8,464,795.24
  5. Step 5: Solve for x
    x = 8,464,795.24/3,472.64
  6. Step 6: Final answer
    x = 2,437.57

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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.