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Finding the Fourth Proportional to 4,677.78, 6,455.49 and 2,582.10

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Solution

The fourth proportional to 4,677.78, 6,455.49 and 2,582.10 is: 3,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.78 : 6,455.49 = 2,582.10 : x
  2. Step 2: Convert to fraction form
    4,677.78/6,455.49 = 2,582.10/x
  3. Step 3: Cross multiply
    4,677.78x = 6,455.49 × 2,582.10
  4. Step 4: Simplify right side
    4,677.78x = 16,668,720.73
  5. Step 5: Solve for x
    x = 16,668,720.73/4,677.78
  6. Step 6: Final answer
    x = 3,563.38

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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.