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Finding the Fourth Proportional to 3,142.63, 4,706.71 and 1,752.89

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Solution

The fourth proportional to 3,142.63, 4,706.71 and 1,752.89 is: 2,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.63 : 4,706.71 = 1,752.89 : x
  2. Step 2: Convert to fraction form
    3,142.63/4,706.71 = 1,752.89/x
  3. Step 3: Cross multiply
    3,142.63x = 4,706.71 × 1,752.89
  4. Step 4: Simplify right side
    3,142.63x = 8,250,344.89
  5. Step 5: Solve for x
    x = 8,250,344.89/3,142.63
  6. Step 6: Final answer
    x = 2,625.30

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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.