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Finding the Fourth Proportional to 4,426, 6,097.28 and 3,097.20

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Solution

The fourth proportional to 4,426, 6,097.28 and 3,097.20 is: 4,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426 : 6,097.28 = 3,097.20 : x
  2. Step 2: Convert to fraction form
    4,426/6,097.28 = 3,097.20/x
  3. Step 3: Cross multiply
    4,426x = 6,097.28 × 3,097.20
  4. Step 4: Simplify right side
    4,426x = 18,884,495.62
  5. Step 5: Solve for x
    x = 18,884,495.62/4,426
  6. Step 6: Final answer
    x = 4,266.72

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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.