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Finding the Fourth Proportional to 4,642.45, 6,406.59 and 2,754.95

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Solution

The fourth proportional to 4,642.45, 6,406.59 and 2,754.95 is: 3,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.45 : 6,406.59 = 2,754.95 : x
  2. Step 2: Convert to fraction form
    4,642.45/6,406.59 = 2,754.95/x
  3. Step 3: Cross multiply
    4,642.45x = 6,406.59 × 2,754.95
  4. Step 4: Simplify right side
    4,642.45x = 17,649,835.12
  5. Step 5: Solve for x
    x = 17,649,835.12/4,642.45
  6. Step 6: Final answer
    x = 3,801.84

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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.