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Finding the Fourth Proportional to 4,932.34, 7,392.30 and 4,314.58

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Solution

The fourth proportional to 4,932.34, 7,392.30 and 4,314.58 is: 6,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.34 : 7,392.30 = 4,314.58 : x
  2. Step 2: Convert to fraction form
    4,932.34/7,392.30 = 4,314.58/x
  3. Step 3: Cross multiply
    4,932.34x = 7,392.30 × 4,314.58
  4. Step 4: Simplify right side
    4,932.34x = 31,894,669.73
  5. Step 5: Solve for x
    x = 31,894,669.73/4,932.34
  6. Step 6: Final answer
    x = 6,466.44

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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.