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Finding the Fourth Proportional to 3,497.04, 5,269.64 and 2,894.29

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Solution

The fourth proportional to 3,497.04, 5,269.64 and 2,894.29 is: 4,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.04 : 5,269.64 = 2,894.29 : x
  2. Step 2: Convert to fraction form
    3,497.04/5,269.64 = 2,894.29/x
  3. Step 3: Cross multiply
    3,497.04x = 5,269.64 × 2,894.29
  4. Step 4: Simplify right side
    3,497.04x = 15,251,838.71
  5. Step 5: Solve for x
    x = 15,251,838.71/3,497.04
  6. Step 6: Final answer
    x = 4,361.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.