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Finding the Fourth Proportional to 4,493.79, 6,742.31 and 3,046.59

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Solution

The fourth proportional to 4,493.79, 6,742.31 and 3,046.59 is: 4,570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.79 : 6,742.31 = 3,046.59 : x
  2. Step 2: Convert to fraction form
    4,493.79/6,742.31 = 3,046.59/x
  3. Step 3: Cross multiply
    4,493.79x = 6,742.31 × 3,046.59
  4. Step 4: Simplify right side
    4,493.79x = 20,541,038.99
  5. Step 5: Solve for x
    x = 20,541,038.99/4,493.79
  6. Step 6: Final answer
    x = 4,570.98

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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.