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Finding the Fourth Proportional to 5,113.69, 7,665.07 and 2,646.03

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Solution

The fourth proportional to 5,113.69, 7,665.07 and 2,646.03 is: 3,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.69 : 7,665.07 = 2,646.03 : x
  2. Step 2: Convert to fraction form
    5,113.69/7,665.07 = 2,646.03/x
  3. Step 3: Cross multiply
    5,113.69x = 7,665.07 × 2,646.03
  4. Step 4: Simplify right side
    5,113.69x = 20,282,005.17
  5. Step 5: Solve for x
    x = 20,282,005.17/5,113.69
  6. Step 6: Final answer
    x = 3,966.22

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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.