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Finding the Fourth Proportional to 5,109.84, 7,664.00 and 1,599.03

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Solution

The fourth proportional to 5,109.84, 7,664.00 and 1,599.03 is: 2,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.84 : 7,664.00 = 1,599.03 : x
  2. Step 2: Convert to fraction form
    5,109.84/7,664.00 = 1,599.03/x
  3. Step 3: Cross multiply
    5,109.84x = 7,664.00 × 1,599.03
  4. Step 4: Simplify right side
    5,109.84x = 12,254,957.92
  5. Step 5: Solve for x
    x = 12,254,957.92/5,109.84
  6. Step 6: Final answer
    x = 2,398.31

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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.