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Finding the Fourth Proportional to 6,355.68, 9,533.52 and 2,890.50

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Solution

The fourth proportional to 6,355.68, 9,533.52 and 2,890.50 is: 4,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.68 : 9,533.52 = 2,890.50 : x
  2. Step 2: Convert to fraction form
    6,355.68/9,533.52 = 2,890.50/x
  3. Step 3: Cross multiply
    6,355.68x = 9,533.52 × 2,890.50
  4. Step 4: Simplify right side
    6,355.68x = 27,556,639.56
  5. Step 5: Solve for x
    x = 27,556,639.56/6,355.68
  6. Step 6: Final answer
    x = 4,335.75

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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.