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Finding the Fourth Proportional to 5,959.84, 8,933.28 and 5,091.52

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Solution

The fourth proportional to 5,959.84, 8,933.28 and 5,091.52 is: 7,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.84 : 8,933.28 = 5,091.52 : x
  2. Step 2: Convert to fraction form
    5,959.84/8,933.28 = 5,091.52/x
  3. Step 3: Cross multiply
    5,959.84x = 8,933.28 × 5,091.52
  4. Step 4: Simplify right side
    5,959.84x = 45,483,973.79
  5. Step 5: Solve for x
    x = 45,483,973.79/5,959.84
  6. Step 6: Final answer
    x = 7,631.74

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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.