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Finding the Fourth Proportional to 4,313.57, 6,468.76 and 1,539.50

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Solution

The fourth proportional to 4,313.57, 6,468.76 and 1,539.50 is: 2,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.57 : 6,468.76 = 1,539.50 : x
  2. Step 2: Convert to fraction form
    4,313.57/6,468.76 = 1,539.50/x
  3. Step 3: Cross multiply
    4,313.57x = 6,468.76 × 1,539.50
  4. Step 4: Simplify right side
    4,313.57x = 9,958,648.32
  5. Step 5: Solve for x
    x = 9,958,648.32/4,313.57
  6. Step 6: Final answer
    x = 2,308.68

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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.