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Finding the Fourth Proportional to 3,896,807.76, 5,844,187.32 and 1,163,706.54

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Solution

The fourth proportional to 3,896,807.76, 5,844,187.32 and 1,163,706.54 is: 1,745,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896,807.76 : 5,844,187.32 = 1,163,706.54 : x
  2. Step 2: Convert to fraction form
    3,896,807.76/5,844,187.32 = 1,163,706.54/x
  3. Step 3: Cross multiply
    3,896,807.76x = 5,844,187.32 × 1,163,706.54
  4. Step 4: Simplify right side
    3,896,807.76x = 6,800,919,005,269.07
  5. Step 5: Solve for x
    x = 6,800,919,005,269.07/3,896,807.76
  6. Step 6: Final answer
    x = 1,745,253.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.