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Finding the Fourth Proportional to 5,048.68, 6,966.49 and 2,810.26

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Solution

The fourth proportional to 5,048.68, 6,966.49 and 2,810.26 is: 3,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.68 : 6,966.49 = 2,810.26 : x
  2. Step 2: Convert to fraction form
    5,048.68/6,966.49 = 2,810.26/x
  3. Step 3: Cross multiply
    5,048.68x = 6,966.49 × 2,810.26
  4. Step 4: Simplify right side
    5,048.68x = 19,577,655.14
  5. Step 5: Solve for x
    x = 19,577,655.14/5,048.68
  6. Step 6: Final answer
    x = 3,877.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.