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Finding the Fourth Proportional to 4,215.04, 5,808 and 3,583.36

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Solution

The fourth proportional to 4,215.04, 5,808 and 3,583.36 is: 4,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.04 : 5,808 = 3,583.36 : x
  2. Step 2: Convert to fraction form
    4,215.04/5,808 = 3,583.36/x
  3. Step 3: Cross multiply
    4,215.04x = 5,808 × 3,583.36
  4. Step 4: Simplify right side
    4,215.04x = 20,812,154.88
  5. Step 5: Solve for x
    x = 20,812,154.88/4,215.04
  6. Step 6: Final answer
    x = 4,937.59

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