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Finding the Fourth Proportional to 4,695, 7,032.42 and 3,046.74

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Solution

The fourth proportional to 4,695, 7,032.42 and 3,046.74 is: 4,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695 : 7,032.42 = 3,046.74 : x
  2. Step 2: Convert to fraction form
    4,695/7,032.42 = 3,046.74/x
  3. Step 3: Cross multiply
    4,695x = 7,032.42 × 3,046.74
  4. Step 4: Simplify right side
    4,695x = 21,425,955.31
  5. Step 5: Solve for x
    x = 21,425,955.31/4,695
  6. Step 6: Final answer
    x = 4,563.57

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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.