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Finding the Fourth Proportional to 3,126, 4,295.84 and 2,981.45

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Solution

The fourth proportional to 3,126, 4,295.84 and 2,981.45 is: 4,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126 : 4,295.84 = 2,981.45 : x
  2. Step 2: Convert to fraction form
    3,126/4,295.84 = 2,981.45/x
  3. Step 3: Cross multiply
    3,126x = 4,295.84 × 2,981.45
  4. Step 4: Simplify right side
    3,126x = 12,807,832.17
  5. Step 5: Solve for x
    x = 12,807,832.17/3,126
  6. Step 6: Final answer
    x = 4,097.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.