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Finding the Fourth Proportional to 3,542.74, 4,889.64 and 2,284

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Solution

The fourth proportional to 3,542.74, 4,889.64 and 2,284 is: 3,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.74 : 4,889.64 = 2,284 : x
  2. Step 2: Convert to fraction form
    3,542.74/4,889.64 = 2,284/x
  3. Step 3: Cross multiply
    3,542.74x = 4,889.64 × 2,284
  4. Step 4: Simplify right side
    3,542.74x = 11,167,937.76
  5. Step 5: Solve for x
    x = 11,167,937.76/3,542.74
  6. Step 6: Final answer
    x = 3,152.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.