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Finding the Fourth Proportional to 8,591.83, 12,875.58 and 3,656.50

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Solution

The fourth proportional to 8,591.83, 12,875.58 and 3,656.50 is: 5,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.83 : 12,875.58 = 3,656.50 : x
  2. Step 2: Convert to fraction form
    8,591.83/12,875.58 = 3,656.50/x
  3. Step 3: Cross multiply
    8,591.83x = 12,875.58 × 3,656.50
  4. Step 4: Simplify right side
    8,591.83x = 47,079,493.89
  5. Step 5: Solve for x
    x = 47,079,493.89/8,591.83
  6. Step 6: Final answer
    x = 5,479.57

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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.