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Finding the Fourth Proportional to 4,664.70, 6,437.84 and 2,675.25

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Solution

The fourth proportional to 4,664.70, 6,437.84 and 2,675.25 is: 3,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.70 : 6,437.84 = 2,675.25 : x
  2. Step 2: Convert to fraction form
    4,664.70/6,437.84 = 2,675.25/x
  3. Step 3: Cross multiply
    4,664.70x = 6,437.84 × 2,675.25
  4. Step 4: Simplify right side
    4,664.70x = 17,222,831.46
  5. Step 5: Solve for x
    x = 17,222,831.46/4,664.70
  6. Step 6: Final answer
    x = 3,692.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.