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Finding the Fourth Proportional to 5,001.96, 7,501.86 and 1,539.84

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Solution

The fourth proportional to 5,001.96, 7,501.86 and 1,539.84 is: 2,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.96 : 7,501.86 = 1,539.84 : x
  2. Step 2: Convert to fraction form
    5,001.96/7,501.86 = 1,539.84/x
  3. Step 3: Cross multiply
    5,001.96x = 7,501.86 × 1,539.84
  4. Step 4: Simplify right side
    5,001.96x = 11,551,664.10
  5. Step 5: Solve for x
    x = 11,551,664.10/5,001.96
  6. Step 6: Final answer
    x = 2,309.43

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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.