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Finding the Fourth Proportional to 5,948.34, 8,206.71 and 3,708.42

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Solution

The fourth proportional to 5,948.34, 8,206.71 and 3,708.42 is: 5,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.34 : 8,206.71 = 3,708.42 : x
  2. Step 2: Convert to fraction form
    5,948.34/8,206.71 = 3,708.42/x
  3. Step 3: Cross multiply
    5,948.34x = 8,206.71 × 3,708.42
  4. Step 4: Simplify right side
    5,948.34x = 30,433,927.50
  5. Step 5: Solve for x
    x = 30,433,927.50/5,948.34
  6. Step 6: Final answer
    x = 5,116.37

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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.