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Finding the Fourth Proportional to 5,653, 8,468.52 and 4,169.50

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Solution

The fourth proportional to 5,653, 8,468.52 and 4,169.50 is: 6,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653 : 8,468.52 = 4,169.50 : x
  2. Step 2: Convert to fraction form
    5,653/8,468.52 = 4,169.50/x
  3. Step 3: Cross multiply
    5,653x = 8,468.52 × 4,169.50
  4. Step 4: Simplify right side
    5,653x = 35,309,494.14
  5. Step 5: Solve for x
    x = 35,309,494.14/5,653
  6. Step 6: Final answer
    x = 6,246.15

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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.