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Finding the Fourth Proportional to 4,109.70, 6,164.50 and 1,031.70

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Solution

The fourth proportional to 4,109.70, 6,164.50 and 1,031.70 is: 1,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.70 : 6,164.50 = 1,031.70 : x
  2. Step 2: Convert to fraction form
    4,109.70/6,164.50 = 1,031.70/x
  3. Step 3: Cross multiply
    4,109.70x = 6,164.50 × 1,031.70
  4. Step 4: Simplify right side
    4,109.70x = 6,359,914.65
  5. Step 5: Solve for x
    x = 6,359,914.65/4,109.70
  6. Step 6: Final answer
    x = 1,547.54

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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.