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Finding the Fourth Proportional to 3,784.86, 5,677.29 and 1,188

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Solution

The fourth proportional to 3,784.86, 5,677.29 and 1,188 is: 1,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.86 : 5,677.29 = 1,188 : x
  2. Step 2: Convert to fraction form
    3,784.86/5,677.29 = 1,188/x
  3. Step 3: Cross multiply
    3,784.86x = 5,677.29 × 1,188
  4. Step 4: Simplify right side
    3,784.86x = 6,744,620.52
  5. Step 5: Solve for x
    x = 6,744,620.52/3,784.86
  6. Step 6: Final answer
    x = 1,782.00

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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.