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Finding the Fourth Proportional to 4,114.65, 6,171.98 and 1,036.65

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Solution

The fourth proportional to 4,114.65, 6,171.98 and 1,036.65 is: 1,554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.65 : 6,171.98 = 1,036.65 : x
  2. Step 2: Convert to fraction form
    4,114.65/6,171.98 = 1,036.65/x
  3. Step 3: Cross multiply
    4,114.65x = 6,171.98 × 1,036.65
  4. Step 4: Simplify right side
    4,114.65x = 6,398,177.88
  5. Step 5: Solve for x
    x = 6,398,177.88/4,114.65
  6. Step 6: Final answer
    x = 1,554.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.