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Finding the Fourth Proportional to 5,929.06, 8,891.76 and 2,465.50

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Solution

The fourth proportional to 5,929.06, 8,891.76 and 2,465.50 is: 3,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.06 : 8,891.76 = 2,465.50 : x
  2. Step 2: Convert to fraction form
    5,929.06/8,891.76 = 2,465.50/x
  3. Step 3: Cross multiply
    5,929.06x = 8,891.76 × 2,465.50
  4. Step 4: Simplify right side
    5,929.06x = 21,922,634.28
  5. Step 5: Solve for x
    x = 21,922,634.28/5,929.06
  6. Step 6: Final answer
    x = 3,697.49

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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.