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Finding the Fourth Proportional to 4,964.34, 7,437.91 and 3,012.45

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Solution

The fourth proportional to 4,964.34, 7,437.91 and 3,012.45 is: 4,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.34 : 7,437.91 = 3,012.45 : x
  2. Step 2: Convert to fraction form
    4,964.34/7,437.91 = 3,012.45/x
  3. Step 3: Cross multiply
    4,964.34x = 7,437.91 × 3,012.45
  4. Step 4: Simplify right side
    4,964.34x = 22,406,331.98
  5. Step 5: Solve for x
    x = 22,406,331.98/4,964.34
  6. Step 6: Final answer
    x = 4,513.46

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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.