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Finding the Fourth Proportional to 4,059.78, 5,602.80 and 2,291.41

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Solution

The fourth proportional to 4,059.78, 5,602.80 and 2,291.41 is: 3,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.78 : 5,602.80 = 2,291.41 : x
  2. Step 2: Convert to fraction form
    4,059.78/5,602.80 = 2,291.41/x
  3. Step 3: Cross multiply
    4,059.78x = 5,602.80 × 2,291.41
  4. Step 4: Simplify right side
    4,059.78x = 12,838,311.95
  5. Step 5: Solve for x
    x = 12,838,311.95/4,059.78
  6. Step 6: Final answer
    x = 3,162.32

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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.