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Finding the Fourth Proportional to 3,411.61, 4,696.64 and 3,254.87

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Solution

The fourth proportional to 3,411.61, 4,696.64 and 3,254.87 is: 4,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.61 : 4,696.64 = 3,254.87 : x
  2. Step 2: Convert to fraction form
    3,411.61/4,696.64 = 3,254.87/x
  3. Step 3: Cross multiply
    3,411.61x = 4,696.64 × 3,254.87
  4. Step 4: Simplify right side
    3,411.61x = 15,286,952.64
  5. Step 5: Solve for x
    x = 15,286,952.64/3,411.61
  6. Step 6: Final answer
    x = 4,480.86

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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.