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Finding the Fourth Proportional to 3,172.92, 4,752.08 and 2,075.77

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Solution

The fourth proportional to 3,172.92, 4,752.08 and 2,075.77 is: 3,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.92 : 4,752.08 = 2,075.77 : x
  2. Step 2: Convert to fraction form
    3,172.92/4,752.08 = 2,075.77/x
  3. Step 3: Cross multiply
    3,172.92x = 4,752.08 × 2,075.77
  4. Step 4: Simplify right side
    3,172.92x = 9,864,225.10
  5. Step 5: Solve for x
    x = 9,864,225.10/3,172.92
  6. Step 6: Final answer
    x = 3,108.88

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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.