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Finding the Fourth Proportional to 4,666.02, 6,438.42 and 2,676.66

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Solution

The fourth proportional to 4,666.02, 6,438.42 and 2,676.66 is: 3,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.02 : 6,438.42 = 2,676.66 : x
  2. Step 2: Convert to fraction form
    4,666.02/6,438.42 = 2,676.66/x
  3. Step 3: Cross multiply
    4,666.02x = 6,438.42 × 2,676.66
  4. Step 4: Simplify right side
    4,666.02x = 17,233,461.28
  5. Step 5: Solve for x
    x = 17,233,461.28/4,666.02
  6. Step 6: Final answer
    x = 3,693.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.