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Finding the Fourth Proportional to 3,815.68, 5,264.40 and 2,159.68

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Solution

The fourth proportional to 3,815.68, 5,264.40 and 2,159.68 is: 2,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.68 : 5,264.40 = 2,159.68 : x
  2. Step 2: Convert to fraction form
    3,815.68/5,264.40 = 2,159.68/x
  3. Step 3: Cross multiply
    3,815.68x = 5,264.40 × 2,159.68
  4. Step 4: Simplify right side
    3,815.68x = 11,369,419.39
  5. Step 5: Solve for x
    x = 11,369,419.39/3,815.68
  6. Step 6: Final answer
    x = 2,979.66

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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.