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Finding the Fourth Proportional to 3,395.64, 4,684.56 and 2,069.28

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Solution

The fourth proportional to 3,395.64, 4,684.56 and 2,069.28 is: 2,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.64 : 4,684.56 = 2,069.28 : x
  2. Step 2: Convert to fraction form
    3,395.64/4,684.56 = 2,069.28/x
  3. Step 3: Cross multiply
    3,395.64x = 4,684.56 × 2,069.28
  4. Step 4: Simplify right side
    3,395.64x = 9,693,666.32
  5. Step 5: Solve for x
    x = 9,693,666.32/3,395.64
  6. Step 6: Final answer
    x = 2,854.74

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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.