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Finding the Fourth Proportional to 3,475.76, 5,210.00 and 1,625.37

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Solution

The fourth proportional to 3,475.76, 5,210.00 and 1,625.37 is: 2,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.76 : 5,210.00 = 1,625.37 : x
  2. Step 2: Convert to fraction form
    3,475.76/5,210.00 = 1,625.37/x
  3. Step 3: Cross multiply
    3,475.76x = 5,210.00 × 1,625.37
  4. Step 4: Simplify right side
    3,475.76x = 8,468,151.56
  5. Step 5: Solve for x
    x = 8,468,151.56/3,475.76
  6. Step 6: Final answer
    x = 2,436.34

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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.