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Finding the Fourth Proportional to 4,964.98, 7,445.82 and 2,002.66

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Solution

The fourth proportional to 4,964.98, 7,445.82 and 2,002.66 is: 3,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.98 : 7,445.82 = 2,002.66 : x
  2. Step 2: Convert to fraction form
    4,964.98/7,445.82 = 2,002.66/x
  3. Step 3: Cross multiply
    4,964.98x = 7,445.82 × 2,002.66
  4. Step 4: Simplify right side
    4,964.98x = 14,911,419.76
  5. Step 5: Solve for x
    x = 14,911,419.76/4,964.98
  6. Step 6: Final answer
    x = 3,003.32

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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.