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Finding the Fourth Proportional to 3,784.82, 5,677.80 and 1,187.50

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Solution

The fourth proportional to 3,784.82, 5,677.80 and 1,187.50 is: 1,781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.82 : 5,677.80 = 1,187.50 : x
  2. Step 2: Convert to fraction form
    3,784.82/5,677.80 = 1,187.50/x
  3. Step 3: Cross multiply
    3,784.82x = 5,677.80 × 1,187.50
  4. Step 4: Simplify right side
    3,784.82x = 6,742,387.50
  5. Step 5: Solve for x
    x = 6,742,387.50/3,784.82
  6. Step 6: Final answer
    x = 1,781.43

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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.