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Finding the Fourth Proportional to 4,932.70, 7,392.06 and 4,346.46

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Solution

The fourth proportional to 4,932.70, 7,392.06 and 4,346.46 is: 6,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.70 : 7,392.06 = 4,346.46 : x
  2. Step 2: Convert to fraction form
    4,932.70/7,392.06 = 4,346.46/x
  3. Step 3: Cross multiply
    4,932.70x = 7,392.06 × 4,346.46
  4. Step 4: Simplify right side
    4,932.70x = 32,129,293.11
  5. Step 5: Solve for x
    x = 32,129,293.11/4,932.70
  6. Step 6: Final answer
    x = 6,513.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.