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Finding the Fourth Proportional to 4,721.58, 7,082.29 and 1,643.50

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Solution

The fourth proportional to 4,721.58, 7,082.29 and 1,643.50 is: 2,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,721.58 : 7,082.29 = 1,643.50 : x
  2. Step 2: Convert to fraction form
    4,721.58/7,082.29 = 1,643.50/x
  3. Step 3: Cross multiply
    4,721.58x = 7,082.29 × 1,643.50
  4. Step 4: Simplify right side
    4,721.58x = 11,639,743.62
  5. Step 5: Solve for x
    x = 11,639,743.62/4,721.58
  6. Step 6: Final answer
    x = 2,465.22

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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.