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Finding the Fourth Proportional to 4,822.60, 7,232.63 and 2,047.84

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Solution

The fourth proportional to 4,822.60, 7,232.63 and 2,047.84 is: 3,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.60 : 7,232.63 = 2,047.84 : x
  2. Step 2: Convert to fraction form
    4,822.60/7,232.63 = 2,047.84/x
  3. Step 3: Cross multiply
    4,822.60x = 7,232.63 × 2,047.84
  4. Step 4: Simplify right side
    4,822.60x = 14,811,232.86
  5. Step 5: Solve for x
    x = 14,811,232.86/4,822.60
  6. Step 6: Final answer
    x = 3,071.22

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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.