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Finding the Fourth Proportional to 5,109.84, 7,666.20 and 2,646.36

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Solution

The fourth proportional to 5,109.84, 7,666.20 and 2,646.36 is: 3,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.84 : 7,666.20 = 2,646.36 : x
  2. Step 2: Convert to fraction form
    5,109.84/7,666.20 = 2,646.36/x
  3. Step 3: Cross multiply
    5,109.84x = 7,666.20 × 2,646.36
  4. Step 4: Simplify right side
    5,109.84x = 20,287,525.03
  5. Step 5: Solve for x
    x = 20,287,525.03/5,109.84
  6. Step 6: Final answer
    x = 3,970.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.