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Finding the Fourth Proportional to 3,271.52, 4,881.64 and 2,877.86

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Solution

The fourth proportional to 3,271.52, 4,881.64 and 2,877.86 is: 4,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.52 : 4,881.64 = 2,877.86 : x
  2. Step 2: Convert to fraction form
    3,271.52/4,881.64 = 2,877.86/x
  3. Step 3: Cross multiply
    3,271.52x = 4,881.64 × 2,877.86
  4. Step 4: Simplify right side
    3,271.52x = 14,048,676.49
  5. Step 5: Solve for x
    x = 14,048,676.49/3,271.52
  6. Step 6: Final answer
    x = 4,294.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.