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Finding the Fourth Proportional to 5,299, 7,948.14 and 2,178.20

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Solution

The fourth proportional to 5,299, 7,948.14 and 2,178.20 is: 3,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299 : 7,948.14 = 2,178.20 : x
  2. Step 2: Convert to fraction form
    5,299/7,948.14 = 2,178.20/x
  3. Step 3: Cross multiply
    5,299x = 7,948.14 × 2,178.20
  4. Step 4: Simplify right side
    5,299x = 17,312,638.55
  5. Step 5: Solve for x
    x = 17,312,638.55/5,299
  6. Step 6: Final answer
    x = 3,267.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.