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Finding the Fourth Proportional to 5,909.48, 8,155 and 3,256.93

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Solution

The fourth proportional to 5,909.48, 8,155 and 3,256.93 is: 4,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.48 : 8,155 = 3,256.93 : x
  2. Step 2: Convert to fraction form
    5,909.48/8,155 = 3,256.93/x
  3. Step 3: Cross multiply
    5,909.48x = 8,155 × 3,256.93
  4. Step 4: Simplify right side
    5,909.48x = 26,560,264.15
  5. Step 5: Solve for x
    x = 26,560,264.15/5,909.48
  6. Step 6: Final answer
    x = 4,494.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.