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Finding the Fourth Proportional to 4,558.69, 6,838.04 and 1,785.66

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Solution

The fourth proportional to 4,558.69, 6,838.04 and 1,785.66 is: 2,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.69 : 6,838.04 = 1,785.66 : x
  2. Step 2: Convert to fraction form
    4,558.69/6,838.04 = 1,785.66/x
  3. Step 3: Cross multiply
    4,558.69x = 6,838.04 × 1,785.66
  4. Step 4: Simplify right side
    4,558.69x = 12,210,414.51
  5. Step 5: Solve for x
    x = 12,210,414.51/4,558.69
  6. Step 6: Final answer
    x = 2,678.49

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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.