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Finding the Fourth Proportional to 4,965.42, 7,437.44 and 4,674.62

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Solution

The fourth proportional to 4,965.42, 7,437.44 and 4,674.62 is: 7,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.42 : 7,437.44 = 4,674.62 : x
  2. Step 2: Convert to fraction form
    4,965.42/7,437.44 = 4,674.62/x
  3. Step 3: Cross multiply
    4,965.42x = 7,437.44 × 4,674.62
  4. Step 4: Simplify right side
    4,965.42x = 34,767,205.77
  5. Step 5: Solve for x
    x = 34,767,205.77/4,965.42
  6. Step 6: Final answer
    x = 7,001.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.