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Finding the Fourth Proportional to 4,721.01, 7,082.63 and 4,642.65

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Solution

The fourth proportional to 4,721.01, 7,082.63 and 4,642.65 is: 6,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,721.01 : 7,082.63 = 4,642.65 : x
  2. Step 2: Convert to fraction form
    4,721.01/7,082.63 = 4,642.65/x
  3. Step 3: Cross multiply
    4,721.01x = 7,082.63 × 4,642.65
  4. Step 4: Simplify right side
    4,721.01x = 32,882,148.96
  5. Step 5: Solve for x
    x = 32,882,148.96/4,721.01
  6. Step 6: Final answer
    x = 6,965.07

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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.