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Finding the Fourth Proportional to 5,948.32, 8,920.56 and 2,051.68

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Solution

The fourth proportional to 5,948.32, 8,920.56 and 2,051.68 is: 3,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.32 : 8,920.56 = 2,051.68 : x
  2. Step 2: Convert to fraction form
    5,948.32/8,920.56 = 2,051.68/x
  3. Step 3: Cross multiply
    5,948.32x = 8,920.56 × 2,051.68
  4. Step 4: Simplify right side
    5,948.32x = 18,302,134.54
  5. Step 5: Solve for x
    x = 18,302,134.54/5,948.32
  6. Step 6: Final answer
    x = 3,076.86

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Why These Related Problems?

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