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Finding the Fourth Proportional to 4,493.60, 6,754.80 and 4,234.40

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Solution

The fourth proportional to 4,493.60, 6,754.80 and 4,234.40 is: 6,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.60 : 6,754.80 = 4,234.40 : x
  2. Step 2: Convert to fraction form
    4,493.60/6,754.80 = 4,234.40/x
  3. Step 3: Cross multiply
    4,493.60x = 6,754.80 × 4,234.40
  4. Step 4: Simplify right side
    4,493.60x = 28,602,525.12
  5. Step 5: Solve for x
    x = 28,602,525.12/4,493.60
  6. Step 6: Final answer
    x = 6,365.17

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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.