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Finding the Fourth Proportional to 3,137.80, 4,693.72 and 2,852.68

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Solution

The fourth proportional to 3,137.80, 4,693.72 and 2,852.68 is: 4,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.80 : 4,693.72 = 2,852.68 : x
  2. Step 2: Convert to fraction form
    3,137.80/4,693.72 = 2,852.68/x
  3. Step 3: Cross multiply
    3,137.80x = 4,693.72 × 2,852.68
  4. Step 4: Simplify right side
    3,137.80x = 13,389,681.17
  5. Step 5: Solve for x
    x = 13,389,681.17/3,137.80
  6. Step 6: Final answer
    x = 4,267.22

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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.