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Finding the Fourth Proportional to 3,785.90, 5,678.06 and 1,705.91

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Solution

The fourth proportional to 3,785.90, 5,678.06 and 1,705.91 is: 2,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.90 : 5,678.06 = 1,705.91 : x
  2. Step 2: Convert to fraction form
    3,785.90/5,678.06 = 1,705.91/x
  3. Step 3: Cross multiply
    3,785.90x = 5,678.06 × 1,705.91
  4. Step 4: Simplify right side
    3,785.90x = 9,686,222.41
  5. Step 5: Solve for x
    x = 9,686,222.41/3,785.90
  6. Step 6: Final answer
    x = 2,558.50

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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.