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Finding the Fourth Proportional to 4,591.86, 6,337 and 2,602.50

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Solution

The fourth proportional to 4,591.86, 6,337 and 2,602.50 is: 3,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.86 : 6,337 = 2,602.50 : x
  2. Step 2: Convert to fraction form
    4,591.86/6,337 = 2,602.50/x
  3. Step 3: Cross multiply
    4,591.86x = 6,337 × 2,602.50
  4. Step 4: Simplify right side
    4,591.86x = 16,492,042.50
  5. Step 5: Solve for x
    x = 16,492,042.50/4,591.86
  6. Step 6: Final answer
    x = 3,591.58

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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.