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Finding the Fourth Proportional to 5,165.34, 7,119 and 4,215.04

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Solution

The fourth proportional to 5,165.34, 7,119 and 4,215.04 is: 5,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.34 : 7,119 = 4,215.04 : x
  2. Step 2: Convert to fraction form
    5,165.34/7,119 = 4,215.04/x
  3. Step 3: Cross multiply
    5,165.34x = 7,119 × 4,215.04
  4. Step 4: Simplify right side
    5,165.34x = 30,006,869.76
  5. Step 5: Solve for x
    x = 30,006,869.76/5,165.34
  6. Step 6: Final answer
    x = 5,809.27

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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.