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Finding the Fourth Proportional to 3,784.98, 5,678.37 and 1,187.91

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Solution

The fourth proportional to 3,784.98, 5,678.37 and 1,187.91 is: 1,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.98 : 5,678.37 = 1,187.91 : x
  2. Step 2: Convert to fraction form
    3,784.98/5,678.37 = 1,187.91/x
  3. Step 3: Cross multiply
    3,784.98x = 5,678.37 × 1,187.91
  4. Step 4: Simplify right side
    3,784.98x = 6,745,392.51
  5. Step 5: Solve for x
    x = 6,745,392.51/3,784.98
  6. Step 6: Final answer
    x = 1,782.15

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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.