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Finding the Fourth Proportional to 4,679, 6,457.04 and 2,583.28

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Solution

The fourth proportional to 4,679, 6,457.04 and 2,583.28 is: 3,564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679 : 6,457.04 = 2,583.28 : x
  2. Step 2: Convert to fraction form
    4,679/6,457.04 = 2,583.28/x
  3. Step 3: Cross multiply
    4,679x = 6,457.04 × 2,583.28
  4. Step 4: Simplify right side
    4,679x = 16,680,342.29
  5. Step 5: Solve for x
    x = 16,680,342.29/4,679
  6. Step 6: Final answer
    x = 3,564.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.