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Finding the Fourth Proportional to 4,059.62, 5,602.16 and 2,291.39

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Solution

The fourth proportional to 4,059.62, 5,602.16 and 2,291.39 is: 3,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.62 : 5,602.16 = 2,291.39 : x
  2. Step 2: Convert to fraction form
    4,059.62/5,602.16 = 2,291.39/x
  3. Step 3: Cross multiply
    4,059.62x = 5,602.16 × 2,291.39
  4. Step 4: Simplify right side
    4,059.62x = 12,836,733.40
  5. Step 5: Solve for x
    x = 12,836,733.40/4,059.62
  6. Step 6: Final answer
    x = 3,162.05

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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.