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Finding the Fourth Proportional to 3,252.49, 4,875.86 and 1,172.00

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Solution

The fourth proportional to 3,252.49, 4,875.86 and 1,172.00 is: 1,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.49 : 4,875.86 = 1,172.00 : x
  2. Step 2: Convert to fraction form
    3,252.49/4,875.86 = 1,172.00/x
  3. Step 3: Cross multiply
    3,252.49x = 4,875.86 × 1,172.00
  4. Step 4: Simplify right side
    3,252.49x = 5,714,523.04
  5. Step 5: Solve for x
    x = 5,714,523.04/3,252.49
  6. Step 6: Final answer
    x = 1,756.97

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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.