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Finding the Fourth Proportional to 4,673.36, 7,002.71 and 2,938.34

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Solution

The fourth proportional to 4,673.36, 7,002.71 and 2,938.34 is: 4,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.36 : 7,002.71 = 2,938.34 : x
  2. Step 2: Convert to fraction form
    4,673.36/7,002.71 = 2,938.34/x
  3. Step 3: Cross multiply
    4,673.36x = 7,002.71 × 2,938.34
  4. Step 4: Simplify right side
    4,673.36x = 20,576,328.21
  5. Step 5: Solve for x
    x = 20,576,328.21/4,673.36
  6. Step 6: Final answer
    x = 4,402.90

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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.