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Finding the Fourth Proportional to 5,602.10, 7,730.44 and 3,244.39

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Solution

The fourth proportional to 5,602.10, 7,730.44 and 3,244.39 is: 4,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.10 : 7,730.44 = 3,244.39 : x
  2. Step 2: Convert to fraction form
    5,602.10/7,730.44 = 3,244.39/x
  3. Step 3: Cross multiply
    5,602.10x = 7,730.44 × 3,244.39
  4. Step 4: Simplify right side
    5,602.10x = 25,080,562.23
  5. Step 5: Solve for x
    x = 25,080,562.23/5,602.10
  6. Step 6: Final answer
    x = 4,476.99

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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.