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Finding the Fourth Proportional to 3,495.77, 4,824.12 and 1,983.61

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Solution

The fourth proportional to 3,495.77, 4,824.12 and 1,983.61 is: 2,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.77 : 4,824.12 = 1,983.61 : x
  2. Step 2: Convert to fraction form
    3,495.77/4,824.12 = 1,983.61/x
  3. Step 3: Cross multiply
    3,495.77x = 4,824.12 × 1,983.61
  4. Step 4: Simplify right side
    3,495.77x = 9,569,199.71
  5. Step 5: Solve for x
    x = 9,569,199.71/3,495.77
  6. Step 6: Final answer
    x = 2,737.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.