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Finding the Fourth Proportional to 4,643.04, 6,964.56 and 2,707.68

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Solution

The fourth proportional to 4,643.04, 6,964.56 and 2,707.68 is: 4,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.04 : 6,964.56 = 2,707.68 : x
  2. Step 2: Convert to fraction form
    4,643.04/6,964.56 = 2,707.68/x
  3. Step 3: Cross multiply
    4,643.04x = 6,964.56 × 2,707.68
  4. Step 4: Simplify right side
    4,643.04x = 18,857,799.82
  5. Step 5: Solve for x
    x = 18,857,799.82/4,643.04
  6. Step 6: Final answer
    x = 4,061.52

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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.