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Finding the Fourth Proportional to 3,887.84, 5,832.74 and 1,114.74

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Solution

The fourth proportional to 3,887.84, 5,832.74 and 1,114.74 is: 1,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.84 : 5,832.74 = 1,114.74 : x
  2. Step 2: Convert to fraction form
    3,887.84/5,832.74 = 1,114.74/x
  3. Step 3: Cross multiply
    3,887.84x = 5,832.74 × 1,114.74
  4. Step 4: Simplify right side
    3,887.84x = 6,501,988.59
  5. Step 5: Solve for x
    x = 6,501,988.59/3,887.84
  6. Step 6: Final answer
    x = 1,672.39

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1.5x scale

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.