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Finding the Fourth Proportional to 3,505.47, 5,263.38 and 2,342.67

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Solution

The fourth proportional to 3,505.47, 5,263.38 and 2,342.67 is: 3,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.47 : 5,263.38 = 2,342.67 : x
  2. Step 2: Convert to fraction form
    3,505.47/5,263.38 = 2,342.67/x
  3. Step 3: Cross multiply
    3,505.47x = 5,263.38 × 2,342.67
  4. Step 4: Simplify right side
    3,505.47x = 12,330,362.42
  5. Step 5: Solve for x
    x = 12,330,362.42/3,505.47
  6. Step 6: Final answer
    x = 3,517.46

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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.