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Finding the Fourth Proportional to 3,516, 5,274.63 and 1,175.46

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Solution

The fourth proportional to 3,516, 5,274.63 and 1,175.46 is: 1,763.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516 : 5,274.63 = 1,175.46 : x
  2. Step 2: Convert to fraction form
    3,516/5,274.63 = 1,175.46/x
  3. Step 3: Cross multiply
    3,516x = 5,274.63 × 1,175.46
  4. Step 4: Simplify right side
    3,516x = 6,200,116.58
  5. Step 5: Solve for x
    x = 6,200,116.58/3,516
  6. Step 6: Final answer
    x = 1,763.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.