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Finding the Fourth Proportional to 4,102.72, 6,154.58 and 4,039.34

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Solution

The fourth proportional to 4,102.72, 6,154.58 and 4,039.34 is: 6,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.72 : 6,154.58 = 4,039.34 : x
  2. Step 2: Convert to fraction form
    4,102.72/6,154.58 = 4,039.34/x
  3. Step 3: Cross multiply
    4,102.72x = 6,154.58 × 4,039.34
  4. Step 4: Simplify right side
    4,102.72x = 24,860,420.50
  5. Step 5: Solve for x
    x = 24,860,420.50/4,102.72
  6. Step 6: Final answer
    x = 6,059.50

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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.