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Finding the Fourth Proportional to 4,662.03, 6,437.49 and 3,097.11

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Solution

The fourth proportional to 4,662.03, 6,437.49 and 3,097.11 is: 4,276.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.03 : 6,437.49 = 3,097.11 : x
  2. Step 2: Convert to fraction form
    4,662.03/6,437.49 = 3,097.11/x
  3. Step 3: Cross multiply
    4,662.03x = 6,437.49 × 3,097.11
  4. Step 4: Simplify right side
    4,662.03x = 19,937,614.65
  5. Step 5: Solve for x
    x = 19,937,614.65/4,662.03
  6. Step 6: Final answer
    x = 4,276.60

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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.