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Finding the Fourth Proportional to 4,659.74, 6,989.39 and 1,737.82

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Solution

The fourth proportional to 4,659.74, 6,989.39 and 1,737.82 is: 2,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.74 : 6,989.39 = 1,737.82 : x
  2. Step 2: Convert to fraction form
    4,659.74/6,989.39 = 1,737.82/x
  3. Step 3: Cross multiply
    4,659.74x = 6,989.39 × 1,737.82
  4. Step 4: Simplify right side
    4,659.74x = 12,146,275.57
  5. Step 5: Solve for x
    x = 12,146,275.57/4,659.74
  6. Step 6: Final answer
    x = 2,606.64

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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.