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Finding the Fourth Proportional to 3,884.79, 5,827.29 and 1,111.71

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Solution

The fourth proportional to 3,884.79, 5,827.29 and 1,111.71 is: 1,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.79 : 5,827.29 = 1,111.71 : x
  2. Step 2: Convert to fraction form
    3,884.79/5,827.29 = 1,111.71/x
  3. Step 3: Cross multiply
    3,884.79x = 5,827.29 × 1,111.71
  4. Step 4: Simplify right side
    3,884.79x = 6,478,256.57
  5. Step 5: Solve for x
    x = 6,478,256.57/3,884.79
  6. Step 6: Final answer
    x = 1,667.60

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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.