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Finding the Fourth Proportional to 4,803.71, 7,196.38 and 4,242.11

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Solution

The fourth proportional to 4,803.71, 7,196.38 and 4,242.11 is: 6,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.71 : 7,196.38 = 4,242.11 : x
  2. Step 2: Convert to fraction form
    4,803.71/7,196.38 = 4,242.11/x
  3. Step 3: Cross multiply
    4,803.71x = 7,196.38 × 4,242.11
  4. Step 4: Simplify right side
    4,803.71x = 30,527,835.56
  5. Step 5: Solve for x
    x = 30,527,835.56/4,803.71
  6. Step 6: Final answer
    x = 6,355.05

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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.